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Finding the Fourth Proportional to 498.54, 746.78 and 292.49

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Solution

The fourth proportional to 498.54, 746.78 and 292.49 is: 438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.54 : 746.78 = 292.49 : x
  2. Step 2: Convert to fraction form
    498.54/746.78 = 292.49/x
  3. Step 3: Cross multiply
    498.54x = 746.78 × 292.49
  4. Step 4: Simplify right side
    498.54x = 218,421.95
  5. Step 5: Solve for x
    x = 218,421.95/498.54
  6. Step 6: Final answer
    x = 438.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.