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Finding the Fourth Proportional to 610.29, 842.04 and 386.13

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Solution

The fourth proportional to 610.29, 842.04 and 386.13 is: 532.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.29 : 842.04 = 386.13 : x
  2. Step 2: Convert to fraction form
    610.29/842.04 = 386.13/x
  3. Step 3: Cross multiply
    610.29x = 842.04 × 386.13
  4. Step 4: Simplify right side
    610.29x = 325,136.91
  5. Step 5: Solve for x
    x = 325,136.91/610.29
  6. Step 6: Final answer
    x = 532.76

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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.