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Finding the Fourth Proportional to 415.84, 573.78 and 284.80

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Solution

The fourth proportional to 415.84, 573.78 and 284.80 is: 392.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.84 : 573.78 = 284.80 : x
  2. Step 2: Convert to fraction form
    415.84/573.78 = 284.80/x
  3. Step 3: Cross multiply
    415.84x = 573.78 × 284.80
  4. Step 4: Simplify right side
    415.84x = 163,412.54
  5. Step 5: Solve for x
    x = 163,412.54/415.84
  6. Step 6: Final answer
    x = 392.97

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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.