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Finding the Fourth Proportional to 470.07, 648.69 and 263.07

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Solution

The fourth proportional to 470.07, 648.69 and 263.07 is: 363.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.07 : 648.69 = 263.07 : x
  2. Step 2: Convert to fraction form
    470.07/648.69 = 263.07/x
  3. Step 3: Cross multiply
    470.07x = 648.69 × 263.07
  4. Step 4: Simplify right side
    470.07x = 170,650.88
  5. Step 5: Solve for x
    x = 170,650.88/470.07
  6. Step 6: Final answer
    x = 363.03

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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.