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Finding the Fourth Proportional to 470.48, 705.66 and 207.04

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Solution

The fourth proportional to 470.48, 705.66 and 207.04 is: 310.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.48 : 705.66 = 207.04 : x
  2. Step 2: Convert to fraction form
    470.48/705.66 = 207.04/x
  3. Step 3: Cross multiply
    470.48x = 705.66 × 207.04
  4. Step 4: Simplify right side
    470.48x = 146,099.85
  5. Step 5: Solve for x
    x = 146,099.85/470.48
  6. Step 6: Final answer
    x = 310.53

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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.