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Finding the Fourth Proportional to 584.57, 877.29 and 399.04

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Solution

The fourth proportional to 584.57, 877.29 and 399.04 is: 598.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.57 : 877.29 = 399.04 : x
  2. Step 2: Convert to fraction form
    584.57/877.29 = 399.04/x
  3. Step 3: Cross multiply
    584.57x = 877.29 × 399.04
  4. Step 4: Simplify right side
    584.57x = 350,073.80
  5. Step 5: Solve for x
    x = 350,073.80/584.57
  6. Step 6: Final answer
    x = 598.86

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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.