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Finding the Fourth Proportional to 624.80, 862.33 and 597.12

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Solution

The fourth proportional to 624.80, 862.33 and 597.12 is: 824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.80 : 862.33 = 597.12 : x
  2. Step 2: Convert to fraction form
    624.80/862.33 = 597.12/x
  3. Step 3: Cross multiply
    624.80x = 862.33 × 597.12
  4. Step 4: Simplify right side
    624.80x = 514,918.14
  5. Step 5: Solve for x
    x = 514,918.14/624.80
  6. Step 6: Final answer
    x = 824.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.