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Finding the Fourth Proportional to 589.60, 880.04 and 553.12

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Solution

The fourth proportional to 589.60, 880.04 and 553.12 is: 825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.60 : 880.04 = 553.12 : x
  2. Step 2: Convert to fraction form
    589.60/880.04 = 553.12/x
  3. Step 3: Cross multiply
    589.60x = 880.04 × 553.12
  4. Step 4: Simplify right side
    589.60x = 486,767.72
  5. Step 5: Solve for x
    x = 486,767.72/589.60
  6. Step 6: Final answer
    x = 825.59

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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.