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Finding the Fourth Proportional to 634.18, 875.32 and 434.92

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Solution

The fourth proportional to 634.18, 875.32 and 434.92 is: 600.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.18 : 875.32 = 434.92 : x
  2. Step 2: Convert to fraction form
    634.18/875.32 = 434.92/x
  3. Step 3: Cross multiply
    634.18x = 875.32 × 434.92
  4. Step 4: Simplify right side
    634.18x = 380,694.17
  5. Step 5: Solve for x
    x = 380,694.17/634.18
  6. Step 6: Final answer
    x = 600.29

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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.