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Finding the Fourth Proportional to 361.08, 541.01 and 314.91

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Solution

The fourth proportional to 361.08, 541.01 and 314.91 is: 471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.08 : 541.01 = 314.91 : x
  2. Step 2: Convert to fraction form
    361.08/541.01 = 314.91/x
  3. Step 3: Cross multiply
    361.08x = 541.01 × 314.91
  4. Step 4: Simplify right side
    361.08x = 170,370.25
  5. Step 5: Solve for x
    x = 170,370.25/361.08
  6. Step 6: Final answer
    x = 471.84

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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.