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Finding the Fourth Proportional to 656.92, 906.50 and 377.14

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Solution

The fourth proportional to 656.92, 906.50 and 377.14 is: 520.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.92 : 906.50 = 377.14 : x
  2. Step 2: Convert to fraction form
    656.92/906.50 = 377.14/x
  3. Step 3: Cross multiply
    656.92x = 906.50 × 377.14
  4. Step 4: Simplify right side
    656.92x = 341,877.41
  5. Step 5: Solve for x
    x = 341,877.41/656.92
  6. Step 6: Final answer
    x = 520.42

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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.