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Finding the Fourth Proportional to 546.95, 820.38 and 340.81

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Solution

The fourth proportional to 546.95, 820.38 and 340.81 is: 511.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.95 : 820.38 = 340.81 : x
  2. Step 2: Convert to fraction form
    546.95/820.38 = 340.81/x
  3. Step 3: Cross multiply
    546.95x = 820.38 × 340.81
  4. Step 4: Simplify right side
    546.95x = 279,591.02
  5. Step 5: Solve for x
    x = 279,591.02/546.95
  6. Step 6: Final answer
    x = 511.18

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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.