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Finding the Fourth Proportional to 656.59, 906.24 and 508.78

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Solution

The fourth proportional to 656.59, 906.24 and 508.78 is: 702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.59 : 906.24 = 508.78 : x
  2. Step 2: Convert to fraction form
    656.59/906.24 = 508.78/x
  3. Step 3: Cross multiply
    656.59x = 906.24 × 508.78
  4. Step 4: Simplify right side
    656.59x = 461,076.79
  5. Step 5: Solve for x
    x = 461,076.79/656.59
  6. Step 6: Final answer
    x = 702.23

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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.