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Finding the Fourth Proportional to 546.05, 817.65 and 463.56

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Solution

The fourth proportional to 546.05, 817.65 and 463.56 is: 694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.05 : 817.65 = 463.56 : x
  2. Step 2: Convert to fraction form
    546.05/817.65 = 463.56/x
  3. Step 3: Cross multiply
    546.05x = 817.65 × 463.56
  4. Step 4: Simplify right side
    546.05x = 379,029.83
  5. Step 5: Solve for x
    x = 379,029.83/546.05
  6. Step 6: Final answer
    x = 694.14

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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.