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Finding the Fourth Proportional to 584.64, 878.85 and 541.80

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Solution

The fourth proportional to 584.64, 878.85 and 541.80 is: 814.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.64 : 878.85 = 541.80 : x
  2. Step 2: Convert to fraction form
    584.64/878.85 = 541.80/x
  3. Step 3: Cross multiply
    584.64x = 878.85 × 541.80
  4. Step 4: Simplify right side
    584.64x = 476,160.93
  5. Step 5: Solve for x
    x = 476,160.93/584.64
  6. Step 6: Final answer
    x = 814.45

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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.