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Finding the Fourth Proportional to 693.55, 956.67 and 431.31

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Solution

The fourth proportional to 693.55, 956.67 and 431.31 is: 594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.55 : 956.67 = 431.31 : x
  2. Step 2: Convert to fraction form
    693.55/956.67 = 431.31/x
  3. Step 3: Cross multiply
    693.55x = 956.67 × 431.31
  4. Step 4: Simplify right side
    693.55x = 412,621.34
  5. Step 5: Solve for x
    x = 412,621.34/693.55
  6. Step 6: Final answer
    x = 594.94

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Double scale
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1.5x scale

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.