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Finding the Fourth Proportional to 585.60, 878.08 and 369.60

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Solution

The fourth proportional to 585.60, 878.08 and 369.60 is: 554.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.60 : 878.08 = 369.60 : x
  2. Step 2: Convert to fraction form
    585.60/878.08 = 369.60/x
  3. Step 3: Cross multiply
    585.60x = 878.08 × 369.60
  4. Step 4: Simplify right side
    585.60x = 324,538.37
  5. Step 5: Solve for x
    x = 324,538.37/585.60
  6. Step 6: Final answer
    x = 554.20

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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.