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Finding the Fourth Proportional to 508.95, 702.68 and 415.92

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Solution

The fourth proportional to 508.95, 702.68 and 415.92 is: 574.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.95 : 702.68 = 415.92 : x
  2. Step 2: Convert to fraction form
    508.95/702.68 = 415.92/x
  3. Step 3: Cross multiply
    508.95x = 702.68 × 415.92
  4. Step 4: Simplify right side
    508.95x = 292,256.59
  5. Step 5: Solve for x
    x = 292,256.59/508.95
  6. Step 6: Final answer
    x = 574.23

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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.