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Finding the Fourth Proportional to 470.52, 649.28 and 263.52

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Solution

The fourth proportional to 470.52, 649.28 and 263.52 is: 363.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.52 : 649.28 = 263.52 : x
  2. Step 2: Convert to fraction form
    470.52/649.28 = 263.52/x
  3. Step 3: Cross multiply
    470.52x = 649.28 × 263.52
  4. Step 4: Simplify right side
    470.52x = 171,098.27
  5. Step 5: Solve for x
    x = 171,098.27/470.52
  6. Step 6: Final answer
    x = 363.64

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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.