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Finding the Fourth Proportional to 361.18, 501.77 and 357.80

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Solution

The fourth proportional to 361.18, 501.77 and 357.80 is: 497.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.18 : 501.77 = 357.80 : x
  2. Step 2: Convert to fraction form
    361.18/501.77 = 357.80/x
  3. Step 3: Cross multiply
    361.18x = 501.77 × 357.80
  4. Step 4: Simplify right side
    361.18x = 179,533.31
  5. Step 5: Solve for x
    x = 179,533.31/361.18
  6. Step 6: Final answer
    x = 497.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.