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Finding the Fourth Proportional to 540.98, 811.85 and 294.68

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Solution

The fourth proportional to 540.98, 811.85 and 294.68 is: 442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.98 : 811.85 = 294.68 : x
  2. Step 2: Convert to fraction form
    540.98/811.85 = 294.68/x
  3. Step 3: Cross multiply
    540.98x = 811.85 × 294.68
  4. Step 4: Simplify right side
    540.98x = 239,238.72
  5. Step 5: Solve for x
    x = 239,238.72/540.98
  6. Step 6: Final answer
    x = 442.23

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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.