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Finding the Fourth Proportional to 549.66, 824.74 and 289.60

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Solution

The fourth proportional to 549.66, 824.74 and 289.60 is: 434.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.66 : 824.74 = 289.60 : x
  2. Step 2: Convert to fraction form
    549.66/824.74 = 289.60/x
  3. Step 3: Cross multiply
    549.66x = 824.74 × 289.60
  4. Step 4: Simplify right side
    549.66x = 238,844.70
  5. Step 5: Solve for x
    x = 238,844.70/549.66
  6. Step 6: Final answer
    x = 434.53

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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.