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Finding the Fourth Proportional to 656.97, 985.62 and 291.87

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Solution

The fourth proportional to 656.97, 985.62 and 291.87 is: 437.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.97 : 985.62 = 291.87 : x
  2. Step 2: Convert to fraction form
    656.97/985.62 = 291.87/x
  3. Step 3: Cross multiply
    656.97x = 985.62 × 291.87
  4. Step 4: Simplify right side
    656.97x = 287,672.91
  5. Step 5: Solve for x
    x = 287,672.91/656.97
  6. Step 6: Final answer
    x = 437.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.