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Finding the Fourth Proportional to 508.61, 701.87 and 284.53

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Solution

The fourth proportional to 508.61, 701.87 and 284.53 is: 392.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.61 : 701.87 = 284.53 : x
  2. Step 2: Convert to fraction form
    508.61/701.87 = 284.53/x
  3. Step 3: Cross multiply
    508.61x = 701.87 × 284.53
  4. Step 4: Simplify right side
    508.61x = 199,702.81
  5. Step 5: Solve for x
    x = 199,702.81/508.61
  6. Step 6: Final answer
    x = 392.64

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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.