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Finding the Fourth Proportional to 402.13, 555.18 and 282.67

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Solution

The fourth proportional to 402.13, 555.18 and 282.67 is: 390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.13 : 555.18 = 282.67 : x
  2. Step 2: Convert to fraction form
    402.13/555.18 = 282.67/x
  3. Step 3: Cross multiply
    402.13x = 555.18 × 282.67
  4. Step 4: Simplify right side
    402.13x = 156,932.73
  5. Step 5: Solve for x
    x = 156,932.73/402.13
  6. Step 6: Final answer
    x = 390.25

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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.