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Finding the Fourth Proportional to 655.81, 984.68 and 437.79

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Solution

The fourth proportional to 655.81, 984.68 and 437.79 is: 657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.81 : 984.68 = 437.79 : x
  2. Step 2: Convert to fraction form
    655.81/984.68 = 437.79/x
  3. Step 3: Cross multiply
    655.81x = 984.68 × 437.79
  4. Step 4: Simplify right side
    655.81x = 431,075.94
  5. Step 5: Solve for x
    x = 431,075.94/655.81
  6. Step 6: Final answer
    x = 657.32

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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.