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Finding the Fourth Proportional to 585.99, 878.98 and 239.32

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Solution

The fourth proportional to 585.99, 878.98 and 239.32 is: 358.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.99 : 878.98 = 239.32 : x
  2. Step 2: Convert to fraction form
    585.99/878.98 = 239.32/x
  3. Step 3: Cross multiply
    585.99x = 878.98 × 239.32
  4. Step 4: Simplify right side
    585.99x = 210,357.49
  5. Step 5: Solve for x
    x = 210,357.49/585.99
  6. Step 6: Final answer
    x = 358.98

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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.