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Finding the Fourth Proportional to 492.59, 679.65 and 296.03

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Solution

The fourth proportional to 492.59, 679.65 and 296.03 is: 408.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.59 : 679.65 = 296.03 : x
  2. Step 2: Convert to fraction form
    492.59/679.65 = 296.03/x
  3. Step 3: Cross multiply
    492.59x = 679.65 × 296.03
  4. Step 4: Simplify right side
    492.59x = 201,196.79
  5. Step 5: Solve for x
    x = 201,196.79/492.59
  6. Step 6: Final answer
    x = 408.45

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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.