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Finding the Fourth Proportional to 375.46, 563.19 and 321.46

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Solution

The fourth proportional to 375.46, 563.19 and 321.46 is: 482.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.46 : 563.19 = 321.46 : x
  2. Step 2: Convert to fraction form
    375.46/563.19 = 321.46/x
  3. Step 3: Cross multiply
    375.46x = 563.19 × 321.46
  4. Step 4: Simplify right side
    375.46x = 181,043.06
  5. Step 5: Solve for x
    x = 181,043.06/375.46
  6. Step 6: Final answer
    x = 482.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.