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Finding the Fourth Proportional to 973.46, 1,459.58 and 324.02

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Solution

The fourth proportional to 973.46, 1,459.58 and 324.02 is: 485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.46 : 1,459.58 = 324.02 : x
  2. Step 2: Convert to fraction form
    973.46/1,459.58 = 324.02/x
  3. Step 3: Cross multiply
    973.46x = 1,459.58 × 324.02
  4. Step 4: Simplify right side
    973.46x = 472,933.11
  5. Step 5: Solve for x
    x = 472,933.11/973.46
  6. Step 6: Final answer
    x = 485.83

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Double scale
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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.