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Finding the Fourth Proportional to 559.43, 771.81 and 346.58

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Solution

The fourth proportional to 559.43, 771.81 and 346.58 is: 478.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.43 : 771.81 = 346.58 : x
  2. Step 2: Convert to fraction form
    559.43/771.81 = 346.58/x
  3. Step 3: Cross multiply
    559.43x = 771.81 × 346.58
  4. Step 4: Simplify right side
    559.43x = 267,491.35
  5. Step 5: Solve for x
    x = 267,491.35/559.43
  6. Step 6: Final answer
    x = 478.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.