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Finding the Fourth Proportional to 415.42, 573.14 and 284.20

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Solution

The fourth proportional to 415.42, 573.14 and 284.20 is: 392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.42 : 573.14 = 284.20 : x
  2. Step 2: Convert to fraction form
    415.42/573.14 = 284.20/x
  3. Step 3: Cross multiply
    415.42x = 573.14 × 284.20
  4. Step 4: Simplify right side
    415.42x = 162,885.67
  5. Step 5: Solve for x
    x = 162,885.67/415.42
  6. Step 6: Final answer
    x = 392.10

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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.