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Finding the Fourth Proportional to 693.62, 957.20 and 378.89

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Solution

The fourth proportional to 693.62, 957.20 and 378.89 is: 522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.62 : 957.20 = 378.89 : x
  2. Step 2: Convert to fraction form
    693.62/957.20 = 378.89/x
  3. Step 3: Cross multiply
    693.62x = 957.20 × 378.89
  4. Step 4: Simplify right side
    693.62x = 362,676.85
  5. Step 5: Solve for x
    x = 362,676.85/693.62
  6. Step 6: Final answer
    x = 522.87

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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.