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Finding the Fourth Proportional to 375.36, 564.32 and 295.17

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Solution

The fourth proportional to 375.36, 564.32 and 295.17 is: 443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.36 : 564.32 = 295.17 : x
  2. Step 2: Convert to fraction form
    375.36/564.32 = 295.17/x
  3. Step 3: Cross multiply
    375.36x = 564.32 × 295.17
  4. Step 4: Simplify right side
    375.36x = 166,566.04
  5. Step 5: Solve for x
    x = 166,566.04/375.36
  6. Step 6: Final answer
    x = 443.76

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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.