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Finding the Fourth Proportional to 470.59, 649.41 and 260.77

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Solution

The fourth proportional to 470.59, 649.41 and 260.77 is: 359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.59 : 649.41 = 260.77 : x
  2. Step 2: Convert to fraction form
    470.59/649.41 = 260.77/x
  3. Step 3: Cross multiply
    470.59x = 649.41 × 260.77
  4. Step 4: Simplify right side
    470.59x = 169,346.65
  5. Step 5: Solve for x
    x = 169,346.65/470.59
  6. Step 6: Final answer
    x = 359.86

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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.