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Finding the Fourth Proportional to 470.32, 648.68 and 332.08

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Solution

The fourth proportional to 470.32, 648.68 and 332.08 is: 458.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.32 : 648.68 = 332.08 : x
  2. Step 2: Convert to fraction form
    470.32/648.68 = 332.08/x
  3. Step 3: Cross multiply
    470.32x = 648.68 × 332.08
  4. Step 4: Simplify right side
    470.32x = 215,413.65
  5. Step 5: Solve for x
    x = 215,413.65/470.32
  6. Step 6: Final answer
    x = 458.02

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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.