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Finding the Fourth Proportional to 549.16, 821.28 and 412.30

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Solution

The fourth proportional to 549.16, 821.28 and 412.30 is: 616.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.16 : 821.28 = 412.30 : x
  2. Step 2: Convert to fraction form
    549.16/821.28 = 412.30/x
  3. Step 3: Cross multiply
    549.16x = 821.28 × 412.30
  4. Step 4: Simplify right side
    549.16x = 338,613.74
  5. Step 5: Solve for x
    x = 338,613.74/549.16
  6. Step 6: Final answer
    x = 616.60

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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.