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Finding the Fourth Proportional to 689.19, 951.48 and 440.89

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Solution

The fourth proportional to 689.19, 951.48 and 440.89 is: 608.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.19 : 951.48 = 440.89 : x
  2. Step 2: Convert to fraction form
    689.19/951.48 = 440.89/x
  3. Step 3: Cross multiply
    689.19x = 951.48 × 440.89
  4. Step 4: Simplify right side
    689.19x = 419,498.02
  5. Step 5: Solve for x
    x = 419,498.02/689.19
  6. Step 6: Final answer
    x = 608.68

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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.