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Finding the Fourth Proportional to 360.08, 497.02 and 261.84

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Solution

The fourth proportional to 360.08, 497.02 and 261.84 is: 361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.08 : 497.02 = 261.84 : x
  2. Step 2: Convert to fraction form
    360.08/497.02 = 261.84/x
  3. Step 3: Cross multiply
    360.08x = 497.02 × 261.84
  4. Step 4: Simplify right side
    360.08x = 130,139.72
  5. Step 5: Solve for x
    x = 130,139.72/360.08
  6. Step 6: Final answer
    x = 361.42

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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.