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Finding the Fourth Proportional to 488.03, 732.07 and 379.60

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Solution

The fourth proportional to 488.03, 732.07 and 379.60 is: 569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.03 : 732.07 = 379.60 : x
  2. Step 2: Convert to fraction form
    488.03/732.07 = 379.60/x
  3. Step 3: Cross multiply
    488.03x = 732.07 × 379.60
  4. Step 4: Simplify right side
    488.03x = 277,893.77
  5. Step 5: Solve for x
    x = 277,893.77/488.03
  6. Step 6: Final answer
    x = 569.42

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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.