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Finding the Fourth Proportional to 360.77, 497.79 and 282.09

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Solution

The fourth proportional to 360.77, 497.79 and 282.09 is: 389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.77 : 497.79 = 282.09 : x
  2. Step 2: Convert to fraction form
    360.77/497.79 = 282.09/x
  3. Step 3: Cross multiply
    360.77x = 497.79 × 282.09
  4. Step 4: Simplify right side
    360.77x = 140,421.58
  5. Step 5: Solve for x
    x = 140,421.58/360.77
  6. Step 6: Final answer
    x = 389.23

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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.