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Finding the Fourth Proportional to 693.08, 956.40 and 398.36

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Solution

The fourth proportional to 693.08, 956.40 and 398.36 is: 549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.08 : 956.40 = 398.36 : x
  2. Step 2: Convert to fraction form
    693.08/956.40 = 398.36/x
  3. Step 3: Cross multiply
    693.08x = 956.40 × 398.36
  4. Step 4: Simplify right side
    693.08x = 380,991.50
  5. Step 5: Solve for x
    x = 380,991.50/693.08
  6. Step 6: Final answer
    x = 549.71

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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.