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Finding the Fourth Proportional to 470.33, 706.17 and 334.10

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Solution

The fourth proportional to 470.33, 706.17 and 334.10 is: 501.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.33 : 706.17 = 334.10 : x
  2. Step 2: Convert to fraction form
    470.33/706.17 = 334.10/x
  3. Step 3: Cross multiply
    470.33x = 706.17 × 334.10
  4. Step 4: Simplify right side
    470.33x = 235,926.20
  5. Step 5: Solve for x
    x = 235,926.20/470.33
  6. Step 6: Final answer
    x = 501.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.