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Finding the Fourth Proportional to 656.87, 906.50 and 362.16

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Solution

The fourth proportional to 656.87, 906.50 and 362.16 is: 499.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.87 : 906.50 = 362.16 : x
  2. Step 2: Convert to fraction form
    656.87/906.50 = 362.16/x
  3. Step 3: Cross multiply
    656.87x = 906.50 × 362.16
  4. Step 4: Simplify right side
    656.87x = 328,291.70
  5. Step 5: Solve for x
    x = 328,291.70/656.87
  6. Step 6: Final answer
    x = 499.78

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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.