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Finding the Fourth Proportional to 540.02, 744.93 and 343.49

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Solution

The fourth proportional to 540.02, 744.93 and 343.49 is: 473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.02 : 744.93 = 343.49 : x
  2. Step 2: Convert to fraction form
    540.02/744.93 = 343.49/x
  3. Step 3: Cross multiply
    540.02x = 744.93 × 343.49
  4. Step 4: Simplify right side
    540.02x = 255,876.01
  5. Step 5: Solve for x
    x = 255,876.01/540.02
  6. Step 6: Final answer
    x = 473.83

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