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Finding the Fourth Proportional to 693.94, 957.84 and 431.80

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Solution

The fourth proportional to 693.94, 957.84 and 431.80 is: 596.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.94 : 957.84 = 431.80 : x
  2. Step 2: Convert to fraction form
    693.94/957.84 = 431.80/x
  3. Step 3: Cross multiply
    693.94x = 957.84 × 431.80
  4. Step 4: Simplify right side
    693.94x = 413,595.31
  5. Step 5: Solve for x
    x = 413,595.31/693.94
  6. Step 6: Final answer
    x = 596.01

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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.