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Finding the Fourth Proportional to 508.18, 701.26 and 284.10

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Solution

The fourth proportional to 508.18, 701.26 and 284.10 is: 392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.18 : 701.26 = 284.10 : x
  2. Step 2: Convert to fraction form
    508.18/701.26 = 284.10/x
  3. Step 3: Cross multiply
    508.18x = 701.26 × 284.10
  4. Step 4: Simplify right side
    508.18x = 199,227.97
  5. Step 5: Solve for x
    x = 199,227.97/508.18
  6. Step 6: Final answer
    x = 392.04

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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.