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Finding the Fourth Proportional to 585.51, 878.64 and 239.13

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Solution

The fourth proportional to 585.51, 878.64 and 239.13 is: 358.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.51 : 878.64 = 239.13 : x
  2. Step 2: Convert to fraction form
    585.51/878.64 = 239.13/x
  3. Step 3: Cross multiply
    585.51x = 878.64 × 239.13
  4. Step 4: Simplify right side
    585.51x = 210,109.18
  5. Step 5: Solve for x
    x = 210,109.18/585.51
  6. Step 6: Final answer
    x = 358.85

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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.