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Finding the Fourth Proportional to 492.98, 743.21 and 466.52

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Solution

The fourth proportional to 492.98, 743.21 and 466.52 is: 703.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.98 : 743.21 = 466.52 : x
  2. Step 2: Convert to fraction form
    492.98/743.21 = 466.52/x
  3. Step 3: Cross multiply
    492.98x = 743.21 × 466.52
  4. Step 4: Simplify right side
    492.98x = 346,722.33
  5. Step 5: Solve for x
    x = 346,722.33/492.98
  6. Step 6: Final answer
    x = 703.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.