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Finding the Fourth Proportional to 470.72, 649.56 and 260.90

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Solution

The fourth proportional to 470.72, 649.56 and 260.90 is: 360.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.72 : 649.56 = 260.90 : x
  2. Step 2: Convert to fraction form
    470.72/649.56 = 260.90/x
  3. Step 3: Cross multiply
    470.72x = 649.56 × 260.90
  4. Step 4: Simplify right side
    470.72x = 169,465.98
  5. Step 5: Solve for x
    x = 169,465.98/470.72
  6. Step 6: Final answer
    x = 360.01

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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.