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Finding the Fourth Proportional to 399.45, 551.24 and 233.67

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Solution

The fourth proportional to 399.45, 551.24 and 233.67 is: 322.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.45 : 551.24 = 233.67 : x
  2. Step 2: Convert to fraction form
    399.45/551.24 = 233.67/x
  3. Step 3: Cross multiply
    399.45x = 551.24 × 233.67
  4. Step 4: Simplify right side
    399.45x = 128,808.25
  5. Step 5: Solve for x
    x = 128,808.25/399.45
  6. Step 6: Final answer
    x = 322.46

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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.