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Finding the Fourth Proportional to 360.77, 498.02 and 298.80

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Solution

The fourth proportional to 360.77, 498.02 and 298.80 is: 412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.77 : 498.02 = 298.80 : x
  2. Step 2: Convert to fraction form
    360.77/498.02 = 298.80/x
  3. Step 3: Cross multiply
    360.77x = 498.02 × 298.80
  4. Step 4: Simplify right side
    360.77x = 148,806.88
  5. Step 5: Solve for x
    x = 148,806.88/360.77
  6. Step 6: Final answer
    x = 412.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.