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Finding the Fourth Proportional to 375.82, 564.31 and 246.65

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Solution

The fourth proportional to 375.82, 564.31 and 246.65 is: 370.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.82 : 564.31 = 246.65 : x
  2. Step 2: Convert to fraction form
    375.82/564.31 = 246.65/x
  3. Step 3: Cross multiply
    375.82x = 564.31 × 246.65
  4. Step 4: Simplify right side
    375.82x = 139,187.06
  5. Step 5: Solve for x
    x = 139,187.06/375.82
  6. Step 6: Final answer
    x = 370.36

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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.