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Finding the Fourth Proportional to 693.20, 956.60 and 378.45

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Solution

The fourth proportional to 693.20, 956.60 and 378.45 is: 522.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.20 : 956.60 = 378.45 : x
  2. Step 2: Convert to fraction form
    693.20/956.60 = 378.45/x
  3. Step 3: Cross multiply
    693.20x = 956.60 × 378.45
  4. Step 4: Simplify right side
    693.20x = 362,025.99
  5. Step 5: Solve for x
    x = 362,025.99/693.20
  6. Step 6: Final answer
    x = 522.26

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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.