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Finding the Fourth Proportional to 280.17, 386.28 and 232.74

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Solution

The fourth proportional to 280.17, 386.28 and 232.74 is: 320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.17 : 386.28 = 232.74 : x
  2. Step 2: Convert to fraction form
    280.17/386.28 = 232.74/x
  3. Step 3: Cross multiply
    280.17x = 386.28 × 232.74
  4. Step 4: Simplify right side
    280.17x = 89,902.81
  5. Step 5: Solve for x
    x = 89,902.81/280.17
  6. Step 6: Final answer
    x = 320.89

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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.