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Finding the Fourth Proportional to 470.54, 649.34 and 260.70

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Solution

The fourth proportional to 470.54, 649.34 and 260.70 is: 359.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.54 : 649.34 = 260.70 : x
  2. Step 2: Convert to fraction form
    470.54/649.34 = 260.70/x
  3. Step 3: Cross multiply
    470.54x = 649.34 × 260.70
  4. Step 4: Simplify right side
    470.54x = 169,282.94
  5. Step 5: Solve for x
    x = 169,282.94/470.54
  6. Step 6: Final answer
    x = 359.76

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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.