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Finding the Fourth Proportional to 492.04, 679.05 and 282.22

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Solution

The fourth proportional to 492.04, 679.05 and 282.22 is: 389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.04 : 679.05 = 282.22 : x
  2. Step 2: Convert to fraction form
    492.04/679.05 = 282.22/x
  3. Step 3: Cross multiply
    492.04x = 679.05 × 282.22
  4. Step 4: Simplify right side
    492.04x = 191,641.49
  5. Step 5: Solve for x
    x = 191,641.49/492.04
  6. Step 6: Final answer
    x = 389.48

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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.