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Finding the Fourth Proportional to 470.79, 706.04 and 239.94

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Solution

The fourth proportional to 470.79, 706.04 and 239.94 is: 359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.79 : 706.04 = 239.94 : x
  2. Step 2: Convert to fraction form
    470.79/706.04 = 239.94/x
  3. Step 3: Cross multiply
    470.79x = 706.04 × 239.94
  4. Step 4: Simplify right side
    470.79x = 169,406.04
  5. Step 5: Solve for x
    x = 169,406.04/470.79
  6. Step 6: Final answer
    x = 359.83

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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.