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Finding the Fourth Proportional to 488, 733.60 and 452.36

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Solution

The fourth proportional to 488, 733.60 and 452.36 is: 680.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    488 : 733.60 = 452.36 : x
  2. Step 2: Convert to fraction form
    488/733.60 = 452.36/x
  3. Step 3: Cross multiply
    488x = 733.60 × 452.36
  4. Step 4: Simplify right side
    488x = 331,851.30
  5. Step 5: Solve for x
    x = 331,851.30/488
  6. Step 6: Final answer
    x = 680.02

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