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Finding the Fourth Proportional to 693.36, 956.88 and 382.92

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Solution

The fourth proportional to 693.36, 956.88 and 382.92 is: 528.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.36 : 956.88 = 382.92 : x
  2. Step 2: Convert to fraction form
    693.36/956.88 = 382.92/x
  3. Step 3: Cross multiply
    693.36x = 956.88 × 382.92
  4. Step 4: Simplify right side
    693.36x = 366,408.49
  5. Step 5: Solve for x
    x = 366,408.49/693.36
  6. Step 6: Final answer
    x = 528.45

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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.