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Finding the Fourth Proportional to 381.56, 525.77 and 307.58

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Solution

The fourth proportional to 381.56, 525.77 and 307.58 is: 423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.56 : 525.77 = 307.58 : x
  2. Step 2: Convert to fraction form
    381.56/525.77 = 307.58/x
  3. Step 3: Cross multiply
    381.56x = 525.77 × 307.58
  4. Step 4: Simplify right side
    381.56x = 161,716.34
  5. Step 5: Solve for x
    x = 161,716.34/381.56
  6. Step 6: Final answer
    x = 423.83

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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.