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Finding the Fourth Proportional to 470.02, 648.66 and 263.02

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Solution

The fourth proportional to 470.02, 648.66 and 263.02 is: 362.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.02 : 648.66 = 263.02 : x
  2. Step 2: Convert to fraction form
    470.02/648.66 = 263.02/x
  3. Step 3: Cross multiply
    470.02x = 648.66 × 263.02
  4. Step 4: Simplify right side
    470.02x = 170,610.55
  5. Step 5: Solve for x
    x = 170,610.55/470.02
  6. Step 6: Final answer
    x = 362.99

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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.