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Finding the Fourth Proportional to 693.61, 956.91 and 431.44

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Solution

The fourth proportional to 693.61, 956.91 and 431.44 is: 595.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.61 : 956.91 = 431.44 : x
  2. Step 2: Convert to fraction form
    693.61/956.91 = 431.44/x
  3. Step 3: Cross multiply
    693.61x = 956.91 × 431.44
  4. Step 4: Simplify right side
    693.61x = 412,849.25
  5. Step 5: Solve for x
    x = 412,849.25/693.61
  6. Step 6: Final answer
    x = 595.22

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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.