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Finding the Fourth Proportional to 563.70, 840.42 and 549.48

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Solution

The fourth proportional to 563.70, 840.42 and 549.48 is: 819.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.70 : 840.42 = 549.48 : x
  2. Step 2: Convert to fraction form
    563.70/840.42 = 549.48/x
  3. Step 3: Cross multiply
    563.70x = 840.42 × 549.48
  4. Step 4: Simplify right side
    563.70x = 461,793.98
  5. Step 5: Solve for x
    x = 461,793.98/563.70
  6. Step 6: Final answer
    x = 819.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.