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Finding the Fourth Proportional to 465.24, 642.12 and 278.88

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Solution

The fourth proportional to 465.24, 642.12 and 278.88 is: 384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.24 : 642.12 = 278.88 : x
  2. Step 2: Convert to fraction form
    465.24/642.12 = 278.88/x
  3. Step 3: Cross multiply
    465.24x = 642.12 × 278.88
  4. Step 4: Simplify right side
    465.24x = 179,074.43
  5. Step 5: Solve for x
    x = 179,074.43/465.24
  6. Step 6: Final answer
    x = 384.91

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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.