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Finding the Fourth Proportional to 585.93, 877.68 and 488.19

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Solution

The fourth proportional to 585.93, 877.68 and 488.19 is: 731.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.93 : 877.68 = 488.19 : x
  2. Step 2: Convert to fraction form
    585.93/877.68 = 488.19/x
  3. Step 3: Cross multiply
    585.93x = 877.68 × 488.19
  4. Step 4: Simplify right side
    585.93x = 428,474.60
  5. Step 5: Solve for x
    x = 428,474.60/585.93
  6. Step 6: Final answer
    x = 731.27

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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.