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Finding the Fourth Proportional to 440.02, 606.32 and 361.08

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Solution

The fourth proportional to 440.02, 606.32 and 361.08 is: 497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.02 : 606.32 = 361.08 : x
  2. Step 2: Convert to fraction form
    440.02/606.32 = 361.08/x
  3. Step 3: Cross multiply
    440.02x = 606.32 × 361.08
  4. Step 4: Simplify right side
    440.02x = 218,932.80
  5. Step 5: Solve for x
    x = 218,932.80/440.02
  6. Step 6: Final answer
    x = 497.55

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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.