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Finding the Fourth Proportional to 393.17, 542.67 and 288.41

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Solution

The fourth proportional to 393.17, 542.67 and 288.41 is: 398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.17 : 542.67 = 288.41 : x
  2. Step 2: Convert to fraction form
    393.17/542.67 = 288.41/x
  3. Step 3: Cross multiply
    393.17x = 542.67 × 288.41
  4. Step 4: Simplify right side
    393.17x = 156,511.45
  5. Step 5: Solve for x
    x = 156,511.45/393.17
  6. Step 6: Final answer
    x = 398.08

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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.