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Finding the Fourth Proportional to 656.61, 906.17 and 460.05

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Solution

The fourth proportional to 656.61, 906.17 and 460.05 is: 634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.61 : 906.17 = 460.05 : x
  2. Step 2: Convert to fraction form
    656.61/906.17 = 460.05/x
  3. Step 3: Cross multiply
    656.61x = 906.17 × 460.05
  4. Step 4: Simplify right side
    656.61x = 416,881.21
  5. Step 5: Solve for x
    x = 416,881.21/656.61
  6. Step 6: Final answer
    x = 634.90

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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.