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Finding the Fourth Proportional to 656.74, 906.43 and 377.16

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Solution

The fourth proportional to 656.74, 906.43 and 377.16 is: 520.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.74 : 906.43 = 377.16 : x
  2. Step 2: Convert to fraction form
    656.74/906.43 = 377.16/x
  3. Step 3: Cross multiply
    656.74x = 906.43 × 377.16
  4. Step 4: Simplify right side
    656.74x = 341,869.14
  5. Step 5: Solve for x
    x = 341,869.14/656.74
  6. Step 6: Final answer
    x = 520.55

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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.