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Finding the Fourth Proportional to 470.36, 649.12 and 263.36

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Solution

The fourth proportional to 470.36, 649.12 and 263.36 is: 363.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.36 : 649.12 = 263.36 : x
  2. Step 2: Convert to fraction form
    470.36/649.12 = 263.36/x
  3. Step 3: Cross multiply
    470.36x = 649.12 × 263.36
  4. Step 4: Simplify right side
    470.36x = 170,952.24
  5. Step 5: Solve for x
    x = 170,952.24/470.36
  6. Step 6: Final answer
    x = 363.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.