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Finding the Fourth Proportional to 470.20, 648.17 and 370.29

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Solution

The fourth proportional to 470.20, 648.17 and 370.29 is: 510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.20 : 648.17 = 370.29 : x
  2. Step 2: Convert to fraction form
    470.20/648.17 = 370.29/x
  3. Step 3: Cross multiply
    470.20x = 648.17 × 370.29
  4. Step 4: Simplify right side
    470.20x = 240,011.80
  5. Step 5: Solve for x
    x = 240,011.80/470.20
  6. Step 6: Final answer
    x = 510.45

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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.