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Finding the Fourth Proportional to 563.82, 844.08 and 346.74

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Solution

The fourth proportional to 563.82, 844.08 and 346.74 is: 519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.82 : 844.08 = 346.74 : x
  2. Step 2: Convert to fraction form
    563.82/844.08 = 346.74/x
  3. Step 3: Cross multiply
    563.82x = 844.08 × 346.74
  4. Step 4: Simplify right side
    563.82x = 292,676.30
  5. Step 5: Solve for x
    x = 292,676.30/563.82
  6. Step 6: Final answer
    x = 519.10

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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.