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Finding the Fourth Proportional to 500.68, 691.94 and 427.78

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Solution

The fourth proportional to 500.68, 691.94 and 427.78 is: 591.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.68 : 691.94 = 427.78 : x
  2. Step 2: Convert to fraction form
    500.68/691.94 = 427.78/x
  3. Step 3: Cross multiply
    500.68x = 691.94 × 427.78
  4. Step 4: Simplify right side
    500.68x = 295,994.22
  5. Step 5: Solve for x
    x = 295,994.22/500.68
  6. Step 6: Final answer
    x = 591.19

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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.