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Finding the Fourth Proportional to 688.60, 950.16 and 423.28

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Solution

The fourth proportional to 688.60, 950.16 and 423.28 is: 584.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.60 : 950.16 = 423.28 : x
  2. Step 2: Convert to fraction form
    688.60/950.16 = 423.28/x
  3. Step 3: Cross multiply
    688.60x = 950.16 × 423.28
  4. Step 4: Simplify right side
    688.60x = 402,183.72
  5. Step 5: Solve for x
    x = 402,183.72/688.60
  6. Step 6: Final answer
    x = 584.06

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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.