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Finding the Fourth Proportional to 470.36, 649.09 and 260.53

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Solution

The fourth proportional to 470.36, 649.09 and 260.53 is: 359.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.36 : 649.09 = 260.53 : x
  2. Step 2: Convert to fraction form
    470.36/649.09 = 260.53/x
  3. Step 3: Cross multiply
    470.36x = 649.09 × 260.53
  4. Step 4: Simplify right side
    470.36x = 169,107.42
  5. Step 5: Solve for x
    x = 169,107.42/470.36
  6. Step 6: Final answer
    x = 359.53

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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.