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Finding the Fourth Proportional to 360.54, 497.54 and 201.02

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Solution

The fourth proportional to 360.54, 497.54 and 201.02 is: 277.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.54 : 497.54 = 201.02 : x
  2. Step 2: Convert to fraction form
    360.54/497.54 = 201.02/x
  3. Step 3: Cross multiply
    360.54x = 497.54 × 201.02
  4. Step 4: Simplify right side
    360.54x = 100,017.24
  5. Step 5: Solve for x
    x = 100,017.24/360.54
  6. Step 6: Final answer
    x = 277.41

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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.