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Finding the Fourth Proportional to 492.21, 679.06 and 282.24

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Solution

The fourth proportional to 492.21, 679.06 and 282.24 is: 389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.21 : 679.06 = 282.24 : x
  2. Step 2: Convert to fraction form
    492.21/679.06 = 282.24/x
  3. Step 3: Cross multiply
    492.21x = 679.06 × 282.24
  4. Step 4: Simplify right side
    492.21x = 191,658.25
  5. Step 5: Solve for x
    x = 191,658.25/492.21
  6. Step 6: Final answer
    x = 389.38

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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.