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Finding the Fourth Proportional to 380.02, 569.21 and 233.33

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Solution

The fourth proportional to 380.02, 569.21 and 233.33 is: 349.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.02 : 569.21 = 233.33 : x
  2. Step 2: Convert to fraction form
    380.02/569.21 = 233.33/x
  3. Step 3: Cross multiply
    380.02x = 569.21 × 233.33
  4. Step 4: Simplify right side
    380.02x = 132,809.76
  5. Step 5: Solve for x
    x = 132,809.76/380.02
  6. Step 6: Final answer
    x = 349.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.