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Finding the Fourth Proportional to 549.82, 824.97 and 290.02

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Solution

The fourth proportional to 549.82, 824.97 and 290.02 is: 435.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.82 : 824.97 = 290.02 : x
  2. Step 2: Convert to fraction form
    549.82/824.97 = 290.02/x
  3. Step 3: Cross multiply
    549.82x = 824.97 × 290.02
  4. Step 4: Simplify right side
    549.82x = 239,257.80
  5. Step 5: Solve for x
    x = 239,257.80/549.82
  6. Step 6: Final answer
    x = 435.16

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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.