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Finding the Fourth Proportional to 498.86, 746.85 and 416.78

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Solution

The fourth proportional to 498.86, 746.85 and 416.78 is: 623.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.86 : 746.85 = 416.78 : x
  2. Step 2: Convert to fraction form
    498.86/746.85 = 416.78/x
  3. Step 3: Cross multiply
    498.86x = 746.85 × 416.78
  4. Step 4: Simplify right side
    498.86x = 311,272.14
  5. Step 5: Solve for x
    x = 311,272.14/498.86
  6. Step 6: Final answer
    x = 623.97

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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.