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Finding the Fourth Proportional to 415.72, 573.06 and 284.32

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Solution

The fourth proportional to 415.72, 573.06 and 284.32 is: 391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.72 : 573.06 = 284.32 : x
  2. Step 2: Convert to fraction form
    415.72/573.06 = 284.32/x
  3. Step 3: Cross multiply
    415.72x = 573.06 × 284.32
  4. Step 4: Simplify right side
    415.72x = 162,932.42
  5. Step 5: Solve for x
    x = 162,932.42/415.72
  6. Step 6: Final answer
    x = 391.93

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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.