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Finding the Fourth Proportional to 549.11, 756.14 and 469.83

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Solution

The fourth proportional to 549.11, 756.14 and 469.83 is: 646.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.11 : 756.14 = 469.83 : x
  2. Step 2: Convert to fraction form
    549.11/756.14 = 469.83/x
  3. Step 3: Cross multiply
    549.11x = 756.14 × 469.83
  4. Step 4: Simplify right side
    549.11x = 355,257.74
  5. Step 5: Solve for x
    x = 355,257.74/549.11
  6. Step 6: Final answer
    x = 646.97

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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.