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Finding the Fourth Proportional to 393.05, 542.30 and 314.28

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Solution

The fourth proportional to 393.05, 542.30 and 314.28 is: 433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.05 : 542.30 = 314.28 : x
  2. Step 2: Convert to fraction form
    393.05/542.30 = 314.28/x
  3. Step 3: Cross multiply
    393.05x = 542.30 × 314.28
  4. Step 4: Simplify right side
    393.05x = 170,432.47
  5. Step 5: Solve for x
    x = 170,432.47/393.05
  6. Step 6: Final answer
    x = 433.61

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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.