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Finding the Fourth Proportional to 546.58, 818.70 and 341.20

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Solution

The fourth proportional to 546.58, 818.70 and 341.20 is: 511.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.58 : 818.70 = 341.20 : x
  2. Step 2: Convert to fraction form
    546.58/818.70 = 341.20/x
  3. Step 3: Cross multiply
    546.58x = 818.70 × 341.20
  4. Step 4: Simplify right side
    546.58x = 279,340.44
  5. Step 5: Solve for x
    x = 279,340.44/546.58
  6. Step 6: Final answer
    x = 511.07

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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.