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Finding the Fourth Proportional to 589.68, 880.08 and 585.96

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Solution

The fourth proportional to 589.68, 880.08 and 585.96 is: 874.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.68 : 880.08 = 585.96 : x
  2. Step 2: Convert to fraction form
    589.68/880.08 = 585.96/x
  3. Step 3: Cross multiply
    589.68x = 880.08 × 585.96
  4. Step 4: Simplify right side
    589.68x = 515,691.68
  5. Step 5: Solve for x
    x = 515,691.68/589.68
  6. Step 6: Final answer
    x = 874.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.