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Finding the Fourth Proportional to 361.13, 497.07 and 294.48

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Solution

The fourth proportional to 361.13, 497.07 and 294.48 is: 405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.13 : 497.07 = 294.48 : x
  2. Step 2: Convert to fraction form
    361.13/497.07 = 294.48/x
  3. Step 3: Cross multiply
    361.13x = 497.07 × 294.48
  4. Step 4: Simplify right side
    361.13x = 146,377.17
  5. Step 5: Solve for x
    x = 146,377.17/361.13
  6. Step 6: Final answer
    x = 405.34

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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.