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Finding the Fourth Proportional to 693.85, 957.66 and 399.22

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Solution

The fourth proportional to 693.85, 957.66 and 399.22 is: 551.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.85 : 957.66 = 399.22 : x
  2. Step 2: Convert to fraction form
    693.85/957.66 = 399.22/x
  3. Step 3: Cross multiply
    693.85x = 957.66 × 399.22
  4. Step 4: Simplify right side
    693.85x = 382,317.03
  5. Step 5: Solve for x
    x = 382,317.03/693.85
  6. Step 6: Final answer
    x = 551.01

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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.