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Finding the Fourth Proportional to 634.38, 875.84 and 410.70

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Solution

The fourth proportional to 634.38, 875.84 and 410.70 is: 567.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.38 : 875.84 = 410.70 : x
  2. Step 2: Convert to fraction form
    634.38/875.84 = 410.70/x
  3. Step 3: Cross multiply
    634.38x = 875.84 × 410.70
  4. Step 4: Simplify right side
    634.38x = 359,707.49
  5. Step 5: Solve for x
    x = 359,707.49/634.38
  6. Step 6: Final answer
    x = 567.02

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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.