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Finding the Fourth Proportional to 470.24, 648.60 and 332

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Solution

The fourth proportional to 470.24, 648.60 and 332 is: 457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.24 : 648.60 = 332 : x
  2. Step 2: Convert to fraction form
    470.24/648.60 = 332/x
  3. Step 3: Cross multiply
    470.24x = 648.60 × 332
  4. Step 4: Simplify right side
    470.24x = 215,335.20
  5. Step 5: Solve for x
    x = 215,335.20/470.24
  6. Step 6: Final answer
    x = 457.93

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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.