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Finding the Fourth Proportional to 441.02, 659.99 and 354.14

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Solution

The fourth proportional to 441.02, 659.99 and 354.14 is: 529.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.02 : 659.99 = 354.14 : x
  2. Step 2: Convert to fraction form
    441.02/659.99 = 354.14/x
  3. Step 3: Cross multiply
    441.02x = 659.99 × 354.14
  4. Step 4: Simplify right side
    441.02x = 233,723.79
  5. Step 5: Solve for x
    x = 233,723.79/441.02
  6. Step 6: Final answer
    x = 529.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.