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Finding the Fourth Proportional to 375.97, 563.14 and 364.63

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Solution

The fourth proportional to 375.97, 563.14 and 364.63 is: 546.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.97 : 563.14 = 364.63 : x
  2. Step 2: Convert to fraction form
    375.97/563.14 = 364.63/x
  3. Step 3: Cross multiply
    375.97x = 563.14 × 364.63
  4. Step 4: Simplify right side
    375.97x = 205,337.74
  5. Step 5: Solve for x
    x = 205,337.74/375.97
  6. Step 6: Final answer
    x = 546.15

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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.