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Finding the Fourth Proportional to 585.39, 877.81 and 311.41

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Solution

The fourth proportional to 585.39, 877.81 and 311.41 is: 466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.39 : 877.81 = 311.41 : x
  2. Step 2: Convert to fraction form
    585.39/877.81 = 311.41/x
  3. Step 3: Cross multiply
    585.39x = 877.81 × 311.41
  4. Step 4: Simplify right side
    585.39x = 273,358.81
  5. Step 5: Solve for x
    x = 273,358.81/585.39
  6. Step 6: Final answer
    x = 466.97

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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.