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Finding the Fourth Proportional to 693.15, 956.30 and 398.35

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Solution

The fourth proportional to 693.15, 956.30 and 398.35 is: 549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.15 : 956.30 = 398.35 : x
  2. Step 2: Convert to fraction form
    693.15/956.30 = 398.35/x
  3. Step 3: Cross multiply
    693.15x = 956.30 × 398.35
  4. Step 4: Simplify right side
    693.15x = 380,942.11
  5. Step 5: Solve for x
    x = 380,942.11/693.15
  6. Step 6: Final answer
    x = 549.58

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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.