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Finding the Fourth Proportional to 634.95, 875.52 and 410.31

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Solution

The fourth proportional to 634.95, 875.52 and 410.31 is: 565.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.95 : 875.52 = 410.31 : x
  2. Step 2: Convert to fraction form
    634.95/875.52 = 410.31/x
  3. Step 3: Cross multiply
    634.95x = 875.52 × 410.31
  4. Step 4: Simplify right side
    634.95x = 359,234.61
  5. Step 5: Solve for x
    x = 359,234.61/634.95
  6. Step 6: Final answer
    x = 565.77

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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.