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Finding the Fourth Proportional to 973.10, 1,459.64 and 323.88

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Solution

The fourth proportional to 973.10, 1,459.64 and 323.88 is: 485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.10 : 1,459.64 = 323.88 : x
  2. Step 2: Convert to fraction form
    973.10/1,459.64 = 323.88/x
  3. Step 3: Cross multiply
    973.10x = 1,459.64 × 323.88
  4. Step 4: Simplify right side
    973.10x = 472,748.20
  5. Step 5: Solve for x
    x = 472,748.20/973.10
  6. Step 6: Final answer
    x = 485.82

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.