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Finding the Fourth Proportional to 549.40, 823.20 and 457.60

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Solution

The fourth proportional to 549.40, 823.20 and 457.60 is: 685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.40 : 823.20 = 457.60 : x
  2. Step 2: Convert to fraction form
    549.40/823.20 = 457.60/x
  3. Step 3: Cross multiply
    549.40x = 823.20 × 457.60
  4. Step 4: Simplify right side
    549.40x = 376,696.32
  5. Step 5: Solve for x
    x = 376,696.32/549.40
  6. Step 6: Final answer
    x = 685.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.