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Finding the Fourth Proportional to 383.09, 528.53 and 233.69

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Solution

The fourth proportional to 383.09, 528.53 and 233.69 is: 322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.09 : 528.53 = 233.69 : x
  2. Step 2: Convert to fraction form
    383.09/528.53 = 233.69/x
  3. Step 3: Cross multiply
    383.09x = 528.53 × 233.69
  4. Step 4: Simplify right side
    383.09x = 123,508.36
  5. Step 5: Solve for x
    x = 123,508.36/383.09
  6. Step 6: Final answer
    x = 322.40

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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.