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Finding the Fourth Proportional to 707.89, 976.82 and 428.17

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Solution

The fourth proportional to 707.89, 976.82 and 428.17 is: 590.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.89 : 976.82 = 428.17 : x
  2. Step 2: Convert to fraction form
    707.89/976.82 = 428.17/x
  3. Step 3: Cross multiply
    707.89x = 976.82 × 428.17
  4. Step 4: Simplify right side
    707.89x = 418,245.02
  5. Step 5: Solve for x
    x = 418,245.02/707.89
  6. Step 6: Final answer
    x = 590.83

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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.