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Finding the Fourth Proportional to 410.38, 565.71 and 310.83

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Solution

The fourth proportional to 410.38, 565.71 and 310.83 is: 428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.38 : 565.71 = 310.83 : x
  2. Step 2: Convert to fraction form
    410.38/565.71 = 310.83/x
  3. Step 3: Cross multiply
    410.38x = 565.71 × 310.83
  4. Step 4: Simplify right side
    410.38x = 175,838.82
  5. Step 5: Solve for x
    x = 175,838.82/410.38
  6. Step 6: Final answer
    x = 428.47

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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.