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Finding the Fourth Proportional to 549.74, 824.40 and 463.67

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Solution

The fourth proportional to 549.74, 824.40 and 463.67 is: 695.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.74 : 824.40 = 463.67 : x
  2. Step 2: Convert to fraction form
    549.74/824.40 = 463.67/x
  3. Step 3: Cross multiply
    549.74x = 824.40 × 463.67
  4. Step 4: Simplify right side
    549.74x = 382,251.61
  5. Step 5: Solve for x
    x = 382,251.61/549.74
  6. Step 6: Final answer
    x = 695.34

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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.