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Finding the Fourth Proportional to 546.38, 824.04 and 536.66

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Solution

The fourth proportional to 546.38, 824.04 and 536.66 is: 809.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.38 : 824.04 = 536.66 : x
  2. Step 2: Convert to fraction form
    546.38/824.04 = 536.66/x
  3. Step 3: Cross multiply
    546.38x = 824.04 × 536.66
  4. Step 4: Simplify right side
    546.38x = 442,226.62
  5. Step 5: Solve for x
    x = 442,226.62/546.38
  6. Step 6: Final answer
    x = 809.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.