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Finding the Fourth Proportional to 392.38, 585.76 and 310.39

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Solution

The fourth proportional to 392.38, 585.76 and 310.39 is: 463.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.38 : 585.76 = 310.39 : x
  2. Step 2: Convert to fraction form
    392.38/585.76 = 310.39/x
  3. Step 3: Cross multiply
    392.38x = 585.76 × 310.39
  4. Step 4: Simplify right side
    392.38x = 181,814.05
  5. Step 5: Solve for x
    x = 181,814.05/392.38
  6. Step 6: Final answer
    x = 463.36

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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.