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Finding the Fourth Proportional to 492.90, 679.95 and 296.07

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Solution

The fourth proportional to 492.90, 679.95 and 296.07 is: 408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.90 : 679.95 = 296.07 : x
  2. Step 2: Convert to fraction form
    492.90/679.95 = 296.07/x
  3. Step 3: Cross multiply
    492.90x = 679.95 × 296.07
  4. Step 4: Simplify right side
    492.90x = 201,312.80
  5. Step 5: Solve for x
    x = 201,312.80/492.90
  6. Step 6: Final answer
    x = 408.43

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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.