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Finding the Fourth Proportional to 540.32, 744.95 and 414.43

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Solution

The fourth proportional to 540.32, 744.95 and 414.43 is: 571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.32 : 744.95 = 414.43 : x
  2. Step 2: Convert to fraction form
    540.32/744.95 = 414.43/x
  3. Step 3: Cross multiply
    540.32x = 744.95 × 414.43
  4. Step 4: Simplify right side
    540.32x = 308,728.80
  5. Step 5: Solve for x
    x = 308,728.80/540.32
  6. Step 6: Final answer
    x = 571.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.