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Finding the Fourth Proportional to 407.55, 562.88 and 276.33

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Solution

The fourth proportional to 407.55, 562.88 and 276.33 is: 381.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.55 : 562.88 = 276.33 : x
  2. Step 2: Convert to fraction form
    407.55/562.88 = 276.33/x
  3. Step 3: Cross multiply
    407.55x = 562.88 × 276.33
  4. Step 4: Simplify right side
    407.55x = 155,540.63
  5. Step 5: Solve for x
    x = 155,540.63/407.55
  6. Step 6: Final answer
    x = 381.65

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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.