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Finding the Fourth Proportional to 470.10, 648.50 and 382.62

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Solution

The fourth proportional to 470.10, 648.50 and 382.62 is: 527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.10 : 648.50 = 382.62 : x
  2. Step 2: Convert to fraction form
    470.10/648.50 = 382.62/x
  3. Step 3: Cross multiply
    470.10x = 648.50 × 382.62
  4. Step 4: Simplify right side
    470.10x = 248,129.07
  5. Step 5: Solve for x
    x = 248,129.07/470.10
  6. Step 6: Final answer
    x = 527.82

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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.