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Finding the Fourth Proportional to 361.23, 497.66 and 295.35

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Solution

The fourth proportional to 361.23, 497.66 and 295.35 is: 406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.23 : 497.66 = 295.35 : x
  2. Step 2: Convert to fraction form
    361.23/497.66 = 295.35/x
  3. Step 3: Cross multiply
    361.23x = 497.66 × 295.35
  4. Step 4: Simplify right side
    361.23x = 146,982.40
  5. Step 5: Solve for x
    x = 146,982.40/361.23
  6. Step 6: Final answer
    x = 406.89

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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.