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Finding the Fourth Proportional to 360.99, 498.16 and 205.74

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Solution

The fourth proportional to 360.99, 498.16 and 205.74 is: 283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.99 : 498.16 = 205.74 : x
  2. Step 2: Convert to fraction form
    360.99/498.16 = 205.74/x
  3. Step 3: Cross multiply
    360.99x = 498.16 × 205.74
  4. Step 4: Simplify right side
    360.99x = 102,491.70
  5. Step 5: Solve for x
    x = 102,491.70/360.99
  6. Step 6: Final answer
    x = 283.92

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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.