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Finding the Fourth Proportional to 375.74, 564.32 and 295.14

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Solution

The fourth proportional to 375.74, 564.32 and 295.14 is: 443.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.74 : 564.32 = 295.14 : x
  2. Step 2: Convert to fraction form
    375.74/564.32 = 295.14/x
  3. Step 3: Cross multiply
    375.74x = 564.32 × 295.14
  4. Step 4: Simplify right side
    375.74x = 166,553.40
  5. Step 5: Solve for x
    x = 166,553.40/375.74
  6. Step 6: Final answer
    x = 443.27

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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.