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Finding the Fourth Proportional to 614.81, 923.15 and 588.89

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Solution

The fourth proportional to 614.81, 923.15 and 588.89 is: 884.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.81 : 923.15 = 588.89 : x
  2. Step 2: Convert to fraction form
    614.81/923.15 = 588.89/x
  3. Step 3: Cross multiply
    614.81x = 923.15 × 588.89
  4. Step 4: Simplify right side
    614.81x = 543,630.86
  5. Step 5: Solve for x
    x = 543,630.86/614.81
  6. Step 6: Final answer
    x = 884.23

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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.