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Finding the Fourth Proportional to 689.91, 952.14 and 427.96

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Solution

The fourth proportional to 689.91, 952.14 and 427.96 is: 590.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.91 : 952.14 = 427.96 : x
  2. Step 2: Convert to fraction form
    689.91/952.14 = 427.96/x
  3. Step 3: Cross multiply
    689.91x = 952.14 × 427.96
  4. Step 4: Simplify right side
    689.91x = 407,477.83
  5. Step 5: Solve for x
    x = 407,477.83/689.91
  6. Step 6: Final answer
    x = 590.62

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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.