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Finding the Fourth Proportional to 360.24, 497.16 and 205.02

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Solution

The fourth proportional to 360.24, 497.16 and 205.02 is: 282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.24 : 497.16 = 205.02 : x
  2. Step 2: Convert to fraction form
    360.24/497.16 = 205.02/x
  3. Step 3: Cross multiply
    360.24x = 497.16 × 205.02
  4. Step 4: Simplify right side
    360.24x = 101,927.74
  5. Step 5: Solve for x
    x = 101,927.74/360.24
  6. Step 6: Final answer
    x = 282.94

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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.