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Finding the Fourth Proportional to 547.77, 820.34 and 342.08

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Solution

The fourth proportional to 547.77, 820.34 and 342.08 is: 512.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.77 : 820.34 = 342.08 : x
  2. Step 2: Convert to fraction form
    547.77/820.34 = 342.08/x
  3. Step 3: Cross multiply
    547.77x = 820.34 × 342.08
  4. Step 4: Simplify right side
    547.77x = 280,621.91
  5. Step 5: Solve for x
    x = 280,621.91/547.77
  6. Step 6: Final answer
    x = 512.30

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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.