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Finding the Fourth Proportional to 375.71, 518.37 and 297.04

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Solution

The fourth proportional to 375.71, 518.37 and 297.04 is: 409.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.71 : 518.37 = 297.04 : x
  2. Step 2: Convert to fraction form
    375.71/518.37 = 297.04/x
  3. Step 3: Cross multiply
    375.71x = 518.37 × 297.04
  4. Step 4: Simplify right side
    375.71x = 153,975.14
  5. Step 5: Solve for x
    x = 153,975.14/375.71
  6. Step 6: Final answer
    x = 409.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.