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Finding the Fourth Proportional to 689.96, 951.81 and 428.06

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Solution

The fourth proportional to 689.96, 951.81 and 428.06 is: 590.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.96 : 951.81 = 428.06 : x
  2. Step 2: Convert to fraction form
    689.96/951.81 = 428.06/x
  3. Step 3: Cross multiply
    689.96x = 951.81 × 428.06
  4. Step 4: Simplify right side
    689.96x = 407,431.79
  5. Step 5: Solve for x
    x = 407,431.79/689.96
  6. Step 6: Final answer
    x = 590.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.