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Finding the Fourth Proportional to 549.08, 756.07 and 492.18

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Solution

The fourth proportional to 549.08, 756.07 and 492.18 is: 677.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.08 : 756.07 = 492.18 : x
  2. Step 2: Convert to fraction form
    549.08/756.07 = 492.18/x
  3. Step 3: Cross multiply
    549.08x = 756.07 × 492.18
  4. Step 4: Simplify right side
    549.08x = 372,122.53
  5. Step 5: Solve for x
    x = 372,122.53/549.08
  6. Step 6: Final answer
    x = 677.72

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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.