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Finding the Fourth Proportional to 549.41, 757.64 and 470.99

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Solution

The fourth proportional to 549.41, 757.64 and 470.99 is: 649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.41 : 757.64 = 470.99 : x
  2. Step 2: Convert to fraction form
    549.41/757.64 = 470.99/x
  3. Step 3: Cross multiply
    549.41x = 757.64 × 470.99
  4. Step 4: Simplify right side
    549.41x = 356,843.94
  5. Step 5: Solve for x
    x = 356,843.94/549.41
  6. Step 6: Final answer
    x = 649.51

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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.