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Finding the Fourth Proportional to 465.38, 642.20 and 278.83

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Solution

The fourth proportional to 465.38, 642.20 and 278.83 is: 384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.38 : 642.20 = 278.83 : x
  2. Step 2: Convert to fraction form
    465.38/642.20 = 278.83/x
  3. Step 3: Cross multiply
    465.38x = 642.20 × 278.83
  4. Step 4: Simplify right side
    465.38x = 179,068.19
  5. Step 5: Solve for x
    x = 179,068.19/465.38
  6. Step 6: Final answer
    x = 384.78

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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.