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Finding the Fourth Proportional to 465.24, 641.88 and 278.70

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Solution

The fourth proportional to 465.24, 641.88 and 278.70 is: 384.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.24 : 641.88 = 278.70 : x
  2. Step 2: Convert to fraction form
    465.24/641.88 = 278.70/x
  3. Step 3: Cross multiply
    465.24x = 641.88 × 278.70
  4. Step 4: Simplify right side
    465.24x = 178,891.96
  5. Step 5: Solve for x
    x = 178,891.96/465.24
  6. Step 6: Final answer
    x = 384.52

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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.