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Finding the Fourth Proportional to 693.48, 956.76 and 398.55

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Solution

The fourth proportional to 693.48, 956.76 and 398.55 is: 549.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.48 : 956.76 = 398.55 : x
  2. Step 2: Convert to fraction form
    693.48/956.76 = 398.55/x
  3. Step 3: Cross multiply
    693.48x = 956.76 × 398.55
  4. Step 4: Simplify right side
    693.48x = 381,316.70
  5. Step 5: Solve for x
    x = 381,316.70/693.48
  6. Step 6: Final answer
    x = 549.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.