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Finding the Fourth Proportional to 437.68, 655.94 and 376.40

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Solution

The fourth proportional to 437.68, 655.94 and 376.40 is: 564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.68 : 655.94 = 376.40 : x
  2. Step 2: Convert to fraction form
    437.68/655.94 = 376.40/x
  3. Step 3: Cross multiply
    437.68x = 655.94 × 376.40
  4. Step 4: Simplify right side
    437.68x = 246,895.82
  5. Step 5: Solve for x
    x = 246,895.82/437.68
  6. Step 6: Final answer
    x = 564.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.