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Finding the Fourth Proportional to 693.52, 957.06 and 378.79

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Solution

The fourth proportional to 693.52, 957.06 and 378.79 is: 522.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.52 : 957.06 = 378.79 : x
  2. Step 2: Convert to fraction form
    693.52/957.06 = 378.79/x
  3. Step 3: Cross multiply
    693.52x = 957.06 × 378.79
  4. Step 4: Simplify right side
    693.52x = 362,520.77
  5. Step 5: Solve for x
    x = 362,520.77/693.52
  6. Step 6: Final answer
    x = 522.73

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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.