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Finding the Fourth Proportional to 549.76, 824.23 and 275.71

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Solution

The fourth proportional to 549.76, 824.23 and 275.71 is: 413.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.76 : 824.23 = 275.71 : x
  2. Step 2: Convert to fraction form
    549.76/824.23 = 275.71/x
  3. Step 3: Cross multiply
    549.76x = 824.23 × 275.71
  4. Step 4: Simplify right side
    549.76x = 227,248.45
  5. Step 5: Solve for x
    x = 227,248.45/549.76
  6. Step 6: Final answer
    x = 413.36

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Double scale
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Similar ratio
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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.