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Finding the Fourth Proportional to 549.47, 820.70 and 497.33

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Solution

The fourth proportional to 549.47, 820.70 and 497.33 is: 742.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.47 : 820.70 = 497.33 : x
  2. Step 2: Convert to fraction form
    549.47/820.70 = 497.33/x
  3. Step 3: Cross multiply
    549.47x = 820.70 × 497.33
  4. Step 4: Simplify right side
    549.47x = 408,160.16
  5. Step 5: Solve for x
    x = 408,160.16/549.47
  6. Step 6: Final answer
    x = 742.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.