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Finding the Fourth Proportional to 383.42, 529.11 and 233.99

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Solution

The fourth proportional to 383.42, 529.11 and 233.99 is: 322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.42 : 529.11 = 233.99 : x
  2. Step 2: Convert to fraction form
    383.42/529.11 = 233.99/x
  3. Step 3: Cross multiply
    383.42x = 529.11 × 233.99
  4. Step 4: Simplify right side
    383.42x = 123,807.77
  5. Step 5: Solve for x
    x = 123,807.77/383.42
  6. Step 6: Final answer
    x = 322.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.