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Finding the Fourth Proportional to 415.46, 573.33 and 284.51

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Solution

The fourth proportional to 415.46, 573.33 and 284.51 is: 392.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.46 : 573.33 = 284.51 : x
  2. Step 2: Convert to fraction form
    415.46/573.33 = 284.51/x
  3. Step 3: Cross multiply
    415.46x = 573.33 × 284.51
  4. Step 4: Simplify right side
    415.46x = 163,115.25
  5. Step 5: Solve for x
    x = 163,115.25/415.46
  6. Step 6: Final answer
    x = 392.62

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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.