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Finding the Fourth Proportional to 688.75, 950.57 and 478.81

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Solution

The fourth proportional to 688.75, 950.57 and 478.81 is: 660.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.75 : 950.57 = 478.81 : x
  2. Step 2: Convert to fraction form
    688.75/950.57 = 478.81/x
  3. Step 3: Cross multiply
    688.75x = 950.57 × 478.81
  4. Step 4: Simplify right side
    688.75x = 455,142.42
  5. Step 5: Solve for x
    x = 455,142.42/688.75
  6. Step 6: Final answer
    x = 660.82

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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.