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Finding the Fourth Proportional to 697.29, 1,045.41 and 423.33

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Solution

The fourth proportional to 697.29, 1,045.41 and 423.33 is: 634.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.29 : 1,045.41 = 423.33 : x
  2. Step 2: Convert to fraction form
    697.29/1,045.41 = 423.33/x
  3. Step 3: Cross multiply
    697.29x = 1,045.41 × 423.33
  4. Step 4: Simplify right side
    697.29x = 442,553.42
  5. Step 5: Solve for x
    x = 442,553.42/697.29
  6. Step 6: Final answer
    x = 634.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.