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Finding the Fourth Proportional to 488.33, 731.14 and 380.33

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Solution

The fourth proportional to 488.33, 731.14 and 380.33 is: 569.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.33 : 731.14 = 380.33 : x
  2. Step 2: Convert to fraction form
    488.33/731.14 = 380.33/x
  3. Step 3: Cross multiply
    488.33x = 731.14 × 380.33
  4. Step 4: Simplify right side
    488.33x = 278,074.48
  5. Step 5: Solve for x
    x = 278,074.48/488.33
  6. Step 6: Final answer
    x = 569.44

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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.