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Finding the Fourth Proportional to 569.38, 854.31 and 338.71

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Solution

The fourth proportional to 569.38, 854.31 and 338.71 is: 508.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.38 : 854.31 = 338.71 : x
  2. Step 2: Convert to fraction form
    569.38/854.31 = 338.71/x
  3. Step 3: Cross multiply
    569.38x = 854.31 × 338.71
  4. Step 4: Simplify right side
    569.38x = 289,363.34
  5. Step 5: Solve for x
    x = 289,363.34/569.38
  6. Step 6: Final answer
    x = 508.21

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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.