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Finding the Fourth Proportional to 569.47, 854.17 and 158.57

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Solution

The fourth proportional to 569.47, 854.17 and 158.57 is: 237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.47 : 854.17 = 158.57 : x
  2. Step 2: Convert to fraction form
    569.47/854.17 = 158.57/x
  3. Step 3: Cross multiply
    569.47x = 854.17 × 158.57
  4. Step 4: Simplify right side
    569.47x = 135,445.74
  5. Step 5: Solve for x
    x = 135,445.74/569.47
  6. Step 6: Final answer
    x = 237.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.