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Finding the Fourth Proportional to 470.70, 649.53 and 260.85

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Solution

The fourth proportional to 470.70, 649.53 and 260.85 is: 359.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.70 : 649.53 = 260.85 : x
  2. Step 2: Convert to fraction form
    470.70/649.53 = 260.85/x
  3. Step 3: Cross multiply
    470.70x = 649.53 × 260.85
  4. Step 4: Simplify right side
    470.70x = 169,429.90
  5. Step 5: Solve for x
    x = 169,429.90/470.70
  6. Step 6: Final answer
    x = 359.95

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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.