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Finding the Fourth Proportional to 509.52, 702.62 and 415.97

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Solution

The fourth proportional to 509.52, 702.62 and 415.97 is: 573.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.52 : 702.62 = 415.97 : x
  2. Step 2: Convert to fraction form
    509.52/702.62 = 415.97/x
  3. Step 3: Cross multiply
    509.52x = 702.62 × 415.97
  4. Step 4: Simplify right side
    509.52x = 292,269.78
  5. Step 5: Solve for x
    x = 292,269.78/509.52
  6. Step 6: Final answer
    x = 573.61

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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.