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Finding the Fourth Proportional to 498.33, 746.75 and 278.49

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Solution

The fourth proportional to 498.33, 746.75 and 278.49 is: 417.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.33 : 746.75 = 278.49 : x
  2. Step 2: Convert to fraction form
    498.33/746.75 = 278.49/x
  3. Step 3: Cross multiply
    498.33x = 746.75 × 278.49
  4. Step 4: Simplify right side
    498.33x = 207,961.02
  5. Step 5: Solve for x
    x = 207,961.02/498.33
  6. Step 6: Final answer
    x = 417.32

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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.