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Finding the Fourth Proportional to 470.46, 705.24 and 308.28

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Solution

The fourth proportional to 470.46, 705.24 and 308.28 is: 462.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.46 : 705.24 = 308.28 : x
  2. Step 2: Convert to fraction form
    470.46/705.24 = 308.28/x
  3. Step 3: Cross multiply
    470.46x = 705.24 × 308.28
  4. Step 4: Simplify right side
    470.46x = 217,411.39
  5. Step 5: Solve for x
    x = 217,411.39/470.46
  6. Step 6: Final answer
    x = 462.13

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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.