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Finding the Fourth Proportional to 402.86, 555.75 and 284.86

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Solution

The fourth proportional to 402.86, 555.75 and 284.86 is: 392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.86 : 555.75 = 284.86 : x
  2. Step 2: Convert to fraction form
    402.86/555.75 = 284.86/x
  3. Step 3: Cross multiply
    402.86x = 555.75 × 284.86
  4. Step 4: Simplify right side
    402.86x = 158,308.17
  5. Step 5: Solve for x
    x = 158,308.17/402.86
  6. Step 6: Final answer
    x = 392.96

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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.