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Finding the Fourth Proportional to 375.24, 563.72 and 265.81

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Solution

The fourth proportional to 375.24, 563.72 and 265.81 is: 399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.24 : 563.72 = 265.81 : x
  2. Step 2: Convert to fraction form
    375.24/563.72 = 265.81/x
  3. Step 3: Cross multiply
    375.24x = 563.72 × 265.81
  4. Step 4: Simplify right side
    375.24x = 149,842.41
  5. Step 5: Solve for x
    x = 149,842.41/375.24
  6. Step 6: Final answer
    x = 399.32

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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.