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Finding the Fourth Proportional to 470.28, 649 and 260.45

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Solution

The fourth proportional to 470.28, 649 and 260.45 is: 359.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.28 : 649 = 260.45 : x
  2. Step 2: Convert to fraction form
    470.28/649 = 260.45/x
  3. Step 3: Cross multiply
    470.28x = 649 × 260.45
  4. Step 4: Simplify right side
    470.28x = 169,032.05
  5. Step 5: Solve for x
    x = 169,032.05/470.28
  6. Step 6: Final answer
    x = 359.43

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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.