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Finding the Fourth Proportional to 579.60, 864 and 553.68

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Solution

The fourth proportional to 579.60, 864 and 553.68 is: 825.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.60 : 864 = 553.68 : x
  2. Step 2: Convert to fraction form
    579.60/864 = 553.68/x
  3. Step 3: Cross multiply
    579.60x = 864 × 553.68
  4. Step 4: Simplify right side
    579.60x = 478,379.52
  5. Step 5: Solve for x
    x = 478,379.52/579.60
  6. Step 6: Final answer
    x = 825.36

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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.