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Finding the Fourth Proportional to 361.36, 497.78 and 342.83

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Solution

The fourth proportional to 361.36, 497.78 and 342.83 is: 472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.36 : 497.78 = 342.83 : x
  2. Step 2: Convert to fraction form
    361.36/497.78 = 342.83/x
  3. Step 3: Cross multiply
    361.36x = 497.78 × 342.83
  4. Step 4: Simplify right side
    361.36x = 170,649.71
  5. Step 5: Solve for x
    x = 170,649.71/361.36
  6. Step 6: Final answer
    x = 472.25

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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.