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Finding the Fourth Proportional to 345.90, 516.17 and 315.24

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Solution

The fourth proportional to 345.90, 516.17 and 315.24 is: 470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.90 : 516.17 = 315.24 : x
  2. Step 2: Convert to fraction form
    345.90/516.17 = 315.24/x
  3. Step 3: Cross multiply
    345.90x = 516.17 × 315.24
  4. Step 4: Simplify right side
    345.90x = 162,715.85
  5. Step 5: Solve for x
    x = 162,715.85/345.90
  6. Step 6: Final answer
    x = 470.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.