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Finding the Fourth Proportional to 693.02, 956.35 and 398.27

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Solution

The fourth proportional to 693.02, 956.35 and 398.27 is: 549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.02 : 956.35 = 398.27 : x
  2. Step 2: Convert to fraction form
    693.02/956.35 = 398.27/x
  3. Step 3: Cross multiply
    693.02x = 956.35 × 398.27
  4. Step 4: Simplify right side
    693.02x = 380,885.51
  5. Step 5: Solve for x
    x = 380,885.51/693.02
  6. Step 6: Final answer
    x = 549.60

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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.