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Finding the Fourth Proportional to 693.99, 957.42 and 431.82

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Solution

The fourth proportional to 693.99, 957.42 and 431.82 is: 595.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.99 : 957.42 = 431.82 : x
  2. Step 2: Convert to fraction form
    693.99/957.42 = 431.82/x
  3. Step 3: Cross multiply
    693.99x = 957.42 × 431.82
  4. Step 4: Simplify right side
    693.99x = 413,433.10
  5. Step 5: Solve for x
    x = 413,433.10/693.99
  6. Step 6: Final answer
    x = 595.73

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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.