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Finding the Fourth Proportional to 362.55, 499.32 and 355.80

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Solution

The fourth proportional to 362.55, 499.32 and 355.80 is: 490.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.55 : 499.32 = 355.80 : x
  2. Step 2: Convert to fraction form
    362.55/499.32 = 355.80/x
  3. Step 3: Cross multiply
    362.55x = 499.32 × 355.80
  4. Step 4: Simplify right side
    362.55x = 177,658.06
  5. Step 5: Solve for x
    x = 177,658.06/362.55
  6. Step 6: Final answer
    x = 490.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.