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Finding the Fourth Proportional to 470.60, 648.36 and 339.38

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Solution

The fourth proportional to 470.60, 648.36 and 339.38 is: 467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.60 : 648.36 = 339.38 : x
  2. Step 2: Convert to fraction form
    470.60/648.36 = 339.38/x
  3. Step 3: Cross multiply
    470.60x = 648.36 × 339.38
  4. Step 4: Simplify right side
    470.60x = 220,037.18
  5. Step 5: Solve for x
    x = 220,037.18/470.60
  6. Step 6: Final answer
    x = 467.57

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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.