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Finding the Fourth Proportional to 364.88, 544.30 and 359.12

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Solution

The fourth proportional to 364.88, 544.30 and 359.12 is: 535.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.88 : 544.30 = 359.12 : x
  2. Step 2: Convert to fraction form
    364.88/544.30 = 359.12/x
  3. Step 3: Cross multiply
    364.88x = 544.30 × 359.12
  4. Step 4: Simplify right side
    364.88x = 195,469.02
  5. Step 5: Solve for x
    x = 195,469.02/364.88
  6. Step 6: Final answer
    x = 535.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.