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Finding the Fourth Proportional to 541.98, 813.42 and 295.25

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Solution

The fourth proportional to 541.98, 813.42 and 295.25 is: 443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.98 : 813.42 = 295.25 : x
  2. Step 2: Convert to fraction form
    541.98/813.42 = 295.25/x
  3. Step 3: Cross multiply
    541.98x = 813.42 × 295.25
  4. Step 4: Simplify right side
    541.98x = 240,158.19
  5. Step 5: Solve for x
    x = 240,158.19/541.98
  6. Step 6: Final answer
    x = 443.11

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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.