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Finding the Fourth Proportional to 470.32, 648.96 and 408.76

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Solution

The fourth proportional to 470.32, 648.96 and 408.76 is: 564.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.32 : 648.96 = 408.76 : x
  2. Step 2: Convert to fraction form
    470.32/648.96 = 408.76/x
  3. Step 3: Cross multiply
    470.32x = 648.96 × 408.76
  4. Step 4: Simplify right side
    470.32x = 265,268.89
  5. Step 5: Solve for x
    x = 265,268.89/470.32
  6. Step 6: Final answer
    x = 564.02

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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.