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Finding the Fourth Proportional to 518.38, 715.42 and 344.10

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Solution

The fourth proportional to 518.38, 715.42 and 344.10 is: 474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.38 : 715.42 = 344.10 : x
  2. Step 2: Convert to fraction form
    518.38/715.42 = 344.10/x
  3. Step 3: Cross multiply
    518.38x = 715.42 × 344.10
  4. Step 4: Simplify right side
    518.38x = 246,176.02
  5. Step 5: Solve for x
    x = 246,176.02/518.38
  6. Step 6: Final answer
    x = 474.89

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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.