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Finding the Fourth Proportional to 689.63, 952.00 and 427.79

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Solution

The fourth proportional to 689.63, 952.00 and 427.79 is: 590.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.63 : 952.00 = 427.79 : x
  2. Step 2: Convert to fraction form
    689.63/952.00 = 427.79/x
  3. Step 3: Cross multiply
    689.63x = 952.00 × 427.79
  4. Step 4: Simplify right side
    689.63x = 407,257.39
  5. Step 5: Solve for x
    x = 407,257.39/689.63
  6. Step 6: Final answer
    x = 590.55

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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.