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Finding the Fourth Proportional to 549.21, 824.06 and 289.15

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Solution

The fourth proportional to 549.21, 824.06 and 289.15 is: 433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.21 : 824.06 = 289.15 : x
  2. Step 2: Convert to fraction form
    549.21/824.06 = 289.15/x
  3. Step 3: Cross multiply
    549.21x = 824.06 × 289.15
  4. Step 4: Simplify right side
    549.21x = 238,276.95
  5. Step 5: Solve for x
    x = 238,276.95/549.21
  6. Step 6: Final answer
    x = 433.85

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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.