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Finding the Fourth Proportional to 509.77, 702.88 and 416.31

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Solution

The fourth proportional to 509.77, 702.88 and 416.31 is: 574.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.77 : 702.88 = 416.31 : x
  2. Step 2: Convert to fraction form
    509.77/702.88 = 416.31/x
  3. Step 3: Cross multiply
    509.77x = 702.88 × 416.31
  4. Step 4: Simplify right side
    509.77x = 292,615.97
  5. Step 5: Solve for x
    x = 292,615.97/509.77
  6. Step 6: Final answer
    x = 574.02

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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.