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Finding the Fourth Proportional to 360.94, 498.10 and 205.72

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Solution

The fourth proportional to 360.94, 498.10 and 205.72 is: 283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.94 : 498.10 = 205.72 : x
  2. Step 2: Convert to fraction form
    360.94/498.10 = 205.72/x
  3. Step 3: Cross multiply
    360.94x = 498.10 × 205.72
  4. Step 4: Simplify right side
    360.94x = 102,468.10
  5. Step 5: Solve for x
    x = 102,468.10/360.94
  6. Step 6: Final answer
    x = 283.89

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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.