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Finding the Fourth Proportional to 549.36, 824.22 and 260.76

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Solution

The fourth proportional to 549.36, 824.22 and 260.76 is: 391.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.36 : 824.22 = 260.76 : x
  2. Step 2: Convert to fraction form
    549.36/824.22 = 260.76/x
  3. Step 3: Cross multiply
    549.36x = 824.22 × 260.76
  4. Step 4: Simplify right side
    549.36x = 214,923.61
  5. Step 5: Solve for x
    x = 214,923.61/549.36
  6. Step 6: Final answer
    x = 391.23

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1.5x scale

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.