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Finding the Fourth Proportional to 470.98, 649.90 and 261.15

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Solution

The fourth proportional to 470.98, 649.90 and 261.15 is: 360.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.98 : 649.90 = 261.15 : x
  2. Step 2: Convert to fraction form
    470.98/649.90 = 261.15/x
  3. Step 3: Cross multiply
    470.98x = 649.90 × 261.15
  4. Step 4: Simplify right side
    470.98x = 169,718.14
  5. Step 5: Solve for x
    x = 169,718.14/470.98
  6. Step 6: Final answer
    x = 360.35

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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.