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Finding the Fourth Proportional to 508.92, 702.66 and 416.76

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Solution

The fourth proportional to 508.92, 702.66 and 416.76 is: 575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.92 : 702.66 = 416.76 : x
  2. Step 2: Convert to fraction form
    508.92/702.66 = 416.76/x
  3. Step 3: Cross multiply
    508.92x = 702.66 × 416.76
  4. Step 4: Simplify right side
    508.92x = 292,840.58
  5. Step 5: Solve for x
    x = 292,840.58/508.92
  6. Step 6: Final answer
    x = 575.42

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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.