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Finding the Fourth Proportional to 688.65, 950.58 and 426.75

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Solution

The fourth proportional to 688.65, 950.58 and 426.75 is: 589.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.65 : 950.58 = 426.75 : x
  2. Step 2: Convert to fraction form
    688.65/950.58 = 426.75/x
  3. Step 3: Cross multiply
    688.65x = 950.58 × 426.75
  4. Step 4: Simplify right side
    688.65x = 405,660.02
  5. Step 5: Solve for x
    x = 405,660.02/688.65
  6. Step 6: Final answer
    x = 589.07

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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.