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Finding the Fourth Proportional to 415.48, 572.46 and 277.24

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Solution

The fourth proportional to 415.48, 572.46 and 277.24 is: 381.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.48 : 572.46 = 277.24 : x
  2. Step 2: Convert to fraction form
    415.48/572.46 = 277.24/x
  3. Step 3: Cross multiply
    415.48x = 572.46 × 277.24
  4. Step 4: Simplify right side
    415.48x = 158,708.81
  5. Step 5: Solve for x
    x = 158,708.81/415.48
  6. Step 6: Final answer
    x = 381.99

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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.