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Finding the Fourth Proportional to 491.88, 678.26 and 381.12

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Solution

The fourth proportional to 491.88, 678.26 and 381.12 is: 525.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.88 : 678.26 = 381.12 : x
  2. Step 2: Convert to fraction form
    491.88/678.26 = 381.12/x
  3. Step 3: Cross multiply
    491.88x = 678.26 × 381.12
  4. Step 4: Simplify right side
    491.88x = 258,496.55
  5. Step 5: Solve for x
    x = 258,496.55/491.88
  6. Step 6: Final answer
    x = 525.53

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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.