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Finding the Fourth Proportional to 424.02, 633.24 and 361.65

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Solution

The fourth proportional to 424.02, 633.24 and 361.65 is: 540.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.02 : 633.24 = 361.65 : x
  2. Step 2: Convert to fraction form
    424.02/633.24 = 361.65/x
  3. Step 3: Cross multiply
    424.02x = 633.24 × 361.65
  4. Step 4: Simplify right side
    424.02x = 229,009.44
  5. Step 5: Solve for x
    x = 229,009.44/424.02
  6. Step 6: Final answer
    x = 540.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.