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Finding the Fourth Proportional to 360.57, 497.56 and 205.32

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Solution

The fourth proportional to 360.57, 497.56 and 205.32 is: 283.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.57 : 497.56 = 205.32 : x
  2. Step 2: Convert to fraction form
    360.57/497.56 = 205.32/x
  3. Step 3: Cross multiply
    360.57x = 497.56 × 205.32
  4. Step 4: Simplify right side
    360.57x = 102,158.51
  5. Step 5: Solve for x
    x = 102,158.51/360.57
  6. Step 6: Final answer
    x = 283.33

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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.