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Finding the Fourth Proportional to 381.42, 525.96 and 307.44

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Solution

The fourth proportional to 381.42, 525.96 and 307.44 is: 423.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.42 : 525.96 = 307.44 : x
  2. Step 2: Convert to fraction form
    381.42/525.96 = 307.44/x
  3. Step 3: Cross multiply
    381.42x = 525.96 × 307.44
  4. Step 4: Simplify right side
    381.42x = 161,701.14
  5. Step 5: Solve for x
    x = 161,701.14/381.42
  6. Step 6: Final answer
    x = 423.95

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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.