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Finding the Fourth Proportional to 415.28, 573.01 and 282.60

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Solution

The fourth proportional to 415.28, 573.01 and 282.60 is: 389.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.28 : 573.01 = 282.60 : x
  2. Step 2: Convert to fraction form
    415.28/573.01 = 282.60/x
  3. Step 3: Cross multiply
    415.28x = 573.01 × 282.60
  4. Step 4: Simplify right side
    415.28x = 161,931.92
  5. Step 5: Solve for x
    x = 161,931.92/415.28
  6. Step 6: Final answer
    x = 389.93

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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.