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Finding the Fourth Proportional to 656.18, 906.31 and 434.75

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Solution

The fourth proportional to 656.18, 906.31 and 434.75 is: 600.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.18 : 906.31 = 434.75 : x
  2. Step 2: Convert to fraction form
    656.18/906.31 = 434.75/x
  3. Step 3: Cross multiply
    656.18x = 906.31 × 434.75
  4. Step 4: Simplify right side
    656.18x = 394,019.45
  5. Step 5: Solve for x
    x = 394,019.45/656.18
  6. Step 6: Final answer
    x = 600.47

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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.