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Finding the Fourth Proportional to 375.44, 563.76 and 303.75

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Solution

The fourth proportional to 375.44, 563.76 and 303.75 is: 456.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.44 : 563.76 = 303.75 : x
  2. Step 2: Convert to fraction form
    375.44/563.76 = 303.75/x
  3. Step 3: Cross multiply
    375.44x = 563.76 × 303.75
  4. Step 4: Simplify right side
    375.44x = 171,242.10
  5. Step 5: Solve for x
    x = 171,242.10/375.44
  6. Step 6: Final answer
    x = 456.12

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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.