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Finding the Fourth Proportional to 415.47, 573.45 and 284.43

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Solution

The fourth proportional to 415.47, 573.45 and 284.43 is: 392.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.47 : 573.45 = 284.43 : x
  2. Step 2: Convert to fraction form
    415.47/573.45 = 284.43/x
  3. Step 3: Cross multiply
    415.47x = 573.45 × 284.43
  4. Step 4: Simplify right side
    415.47x = 163,106.38
  5. Step 5: Solve for x
    x = 163,106.38/415.47
  6. Step 6: Final answer
    x = 392.58

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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.