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Finding the Fourth Proportional to 561.02, 844.72 and 496.42

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Solution

The fourth proportional to 561.02, 844.72 and 496.42 is: 747.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.02 : 844.72 = 496.42 : x
  2. Step 2: Convert to fraction form
    561.02/844.72 = 496.42/x
  3. Step 3: Cross multiply
    561.02x = 844.72 × 496.42
  4. Step 4: Simplify right side
    561.02x = 419,331.68
  5. Step 5: Solve for x
    x = 419,331.68/561.02
  6. Step 6: Final answer
    x = 747.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.