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Finding the Fourth Proportional to 540.68, 811.55 and 297.32

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Solution

The fourth proportional to 540.68, 811.55 and 297.32 is: 446.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.68 : 811.55 = 297.32 : x
  2. Step 2: Convert to fraction form
    540.68/811.55 = 297.32/x
  3. Step 3: Cross multiply
    540.68x = 811.55 × 297.32
  4. Step 4: Simplify right side
    540.68x = 241,286.73
  5. Step 5: Solve for x
    x = 241,286.73/540.68
  6. Step 6: Final answer
    x = 446.27

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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.