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Finding the Fourth Proportional to 693.15, 956.57 and 398.43

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Solution

The fourth proportional to 693.15, 956.57 and 398.43 is: 549.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.15 : 956.57 = 398.43 : x
  2. Step 2: Convert to fraction form
    693.15/956.57 = 398.43/x
  3. Step 3: Cross multiply
    693.15x = 956.57 × 398.43
  4. Step 4: Simplify right side
    693.15x = 381,126.19
  5. Step 5: Solve for x
    x = 381,126.19/693.15
  6. Step 6: Final answer
    x = 549.85

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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.