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Finding the Fourth Proportional to 488.21, 731.45 and 350.57

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Solution

The fourth proportional to 488.21, 731.45 and 350.57 is: 525.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.21 : 731.45 = 350.57 : x
  2. Step 2: Convert to fraction form
    488.21/731.45 = 350.57/x
  3. Step 3: Cross multiply
    488.21x = 731.45 × 350.57
  4. Step 4: Simplify right side
    488.21x = 256,419.02
  5. Step 5: Solve for x
    x = 256,419.02/488.21
  6. Step 6: Final answer
    x = 525.23

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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.