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Finding the Fourth Proportional to 540.33, 809.24 and 357.20

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Solution

The fourth proportional to 540.33, 809.24 and 357.20 is: 534.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.33 : 809.24 = 357.20 : x
  2. Step 2: Convert to fraction form
    540.33/809.24 = 357.20/x
  3. Step 3: Cross multiply
    540.33x = 809.24 × 357.20
  4. Step 4: Simplify right side
    540.33x = 289,054.70
  5. Step 5: Solve for x
    x = 289,054.70/540.33
  6. Step 6: Final answer
    x = 534.96

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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.