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Finding the Fourth Proportional to 549.48, 824.56 and 289.67

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Solution

The fourth proportional to 549.48, 824.56 and 289.67 is: 434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.48 : 824.56 = 289.67 : x
  2. Step 2: Convert to fraction form
    549.48/824.56 = 289.67/x
  3. Step 3: Cross multiply
    549.48x = 824.56 × 289.67
  4. Step 4: Simplify right side
    549.48x = 238,850.09
  5. Step 5: Solve for x
    x = 238,850.09/549.48
  6. Step 6: Final answer
    x = 434.68

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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.