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Finding the Fourth Proportional to 470.45, 649.25 and 263.45

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Solution

The fourth proportional to 470.45, 649.25 and 263.45 is: 363.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.45 : 649.25 = 263.45 : x
  2. Step 2: Convert to fraction form
    470.45/649.25 = 263.45/x
  3. Step 3: Cross multiply
    470.45x = 649.25 × 263.45
  4. Step 4: Simplify right side
    470.45x = 171,040.35
  5. Step 5: Solve for x
    x = 171,040.35/470.45
  6. Step 6: Final answer
    x = 363.57

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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.