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Finding the Fourth Proportional to 381.15, 525.45 and 298.08

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Solution

The fourth proportional to 381.15, 525.45 and 298.08 is: 410.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.15 : 525.45 = 298.08 : x
  2. Step 2: Convert to fraction form
    381.15/525.45 = 298.08/x
  3. Step 3: Cross multiply
    381.15x = 525.45 × 298.08
  4. Step 4: Simplify right side
    381.15x = 156,626.14
  5. Step 5: Solve for x
    x = 156,626.14/381.15
  6. Step 6: Final answer
    x = 410.93

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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.