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Finding the Fourth Proportional to 380.10, 523.38 and 297.12

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Solution

The fourth proportional to 380.10, 523.38 and 297.12 is: 409.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.10 : 523.38 = 297.12 : x
  2. Step 2: Convert to fraction form
    380.10/523.38 = 297.12/x
  3. Step 3: Cross multiply
    380.10x = 523.38 × 297.12
  4. Step 4: Simplify right side
    380.10x = 155,506.67
  5. Step 5: Solve for x
    x = 155,506.67/380.10
  6. Step 6: Final answer
    x = 409.12

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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.