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Finding the Fourth Proportional to 407.20, 562.08 and 276.64

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Solution

The fourth proportional to 407.20, 562.08 and 276.64 is: 381.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.20 : 562.08 = 276.64 : x
  2. Step 2: Convert to fraction form
    407.20/562.08 = 276.64/x
  3. Step 3: Cross multiply
    407.20x = 562.08 × 276.64
  4. Step 4: Simplify right side
    407.20x = 155,493.81
  5. Step 5: Solve for x
    x = 155,493.81/407.20
  6. Step 6: Final answer
    x = 381.86

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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.