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Finding the Fourth Proportional to 960.48, 1,440.74 and 375.46

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Solution

The fourth proportional to 960.48, 1,440.74 and 375.46 is: 563.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.48 : 1,440.74 = 375.46 : x
  2. Step 2: Convert to fraction form
    960.48/1,440.74 = 375.46/x
  3. Step 3: Cross multiply
    960.48x = 1,440.74 × 375.46
  4. Step 4: Simplify right side
    960.48x = 540,933.98
  5. Step 5: Solve for x
    x = 540,933.98/960.48
  6. Step 6: Final answer
    x = 563.19

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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.