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Finding the Fourth Proportional to 585.11, 876.25 and 378.54

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Solution

The fourth proportional to 585.11, 876.25 and 378.54 is: 566.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.11 : 876.25 = 378.54 : x
  2. Step 2: Convert to fraction form
    585.11/876.25 = 378.54/x
  3. Step 3: Cross multiply
    585.11x = 876.25 × 378.54
  4. Step 4: Simplify right side
    585.11x = 331,695.62
  5. Step 5: Solve for x
    x = 331,695.62/585.11
  6. Step 6: Final answer
    x = 566.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.