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Finding the Fourth Proportional to 470.40, 649.04 and 312.85

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Solution

The fourth proportional to 470.40, 649.04 and 312.85 is: 431.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.40 : 649.04 = 312.85 : x
  2. Step 2: Convert to fraction form
    470.40/649.04 = 312.85/x
  3. Step 3: Cross multiply
    470.40x = 649.04 × 312.85
  4. Step 4: Simplify right side
    470.40x = 203,052.16
  5. Step 5: Solve for x
    x = 203,052.16/470.40
  6. Step 6: Final answer
    x = 431.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.