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Finding the Fourth Proportional to 470.06, 648.73 and 339.14

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Solution

The fourth proportional to 470.06, 648.73 and 339.14 is: 468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.06 : 648.73 = 339.14 : x
  2. Step 2: Convert to fraction form
    470.06/648.73 = 339.14/x
  3. Step 3: Cross multiply
    470.06x = 648.73 × 339.14
  4. Step 4: Simplify right side
    470.06x = 220,010.29
  5. Step 5: Solve for x
    x = 220,010.29/470.06
  6. Step 6: Final answer
    x = 468.05

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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.