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Finding the Fourth Proportional to 549.64, 824.94 and 378.76

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Solution

The fourth proportional to 549.64, 824.94 and 378.76 is: 568.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.64 : 824.94 = 378.76 : x
  2. Step 2: Convert to fraction form
    549.64/824.94 = 378.76/x
  3. Step 3: Cross multiply
    549.64x = 824.94 × 378.76
  4. Step 4: Simplify right side
    549.64x = 312,454.27
  5. Step 5: Solve for x
    x = 312,454.27/549.64
  6. Step 6: Final answer
    x = 568.47

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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.