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Finding the Fourth Proportional to 498.95, 746.61 and 293.62

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Solution

The fourth proportional to 498.95, 746.61 and 293.62 is: 439.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.95 : 746.61 = 293.62 : x
  2. Step 2: Convert to fraction form
    498.95/746.61 = 293.62/x
  3. Step 3: Cross multiply
    498.95x = 746.61 × 293.62
  4. Step 4: Simplify right side
    498.95x = 219,216.66
  5. Step 5: Solve for x
    x = 219,216.66/498.95
  6. Step 6: Final answer
    x = 439.35

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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.