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Finding the Fourth Proportional to 973.04, 1,459.10 and 323.56

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Solution

The fourth proportional to 973.04, 1,459.10 and 323.56 is: 485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.04 : 1,459.10 = 323.56 : x
  2. Step 2: Convert to fraction form
    973.04/1,459.10 = 323.56/x
  3. Step 3: Cross multiply
    973.04x = 1,459.10 × 323.56
  4. Step 4: Simplify right side
    973.04x = 472,106.40
  5. Step 5: Solve for x
    x = 472,106.40/973.04
  6. Step 6: Final answer
    x = 485.19

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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.