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Finding the Fourth Proportional to 415.76, 573.14 and 284.54

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Solution

The fourth proportional to 415.76, 573.14 and 284.54 is: 392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.76 : 573.14 = 284.54 : x
  2. Step 2: Convert to fraction form
    415.76/573.14 = 284.54/x
  3. Step 3: Cross multiply
    415.76x = 573.14 × 284.54
  4. Step 4: Simplify right side
    415.76x = 163,081.26
  5. Step 5: Solve for x
    x = 163,081.26/415.76
  6. Step 6: Final answer
    x = 392.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.