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Finding the Fourth Proportional to 549.87, 760.28 and 480.70

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Solution

The fourth proportional to 549.87, 760.28 and 480.70 is: 664.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.87 : 760.28 = 480.70 : x
  2. Step 2: Convert to fraction form
    549.87/760.28 = 480.70/x
  3. Step 3: Cross multiply
    549.87x = 760.28 × 480.70
  4. Step 4: Simplify right side
    549.87x = 365,466.60
  5. Step 5: Solve for x
    x = 365,466.60/549.87
  6. Step 6: Final answer
    x = 664.64

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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.