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Finding the Fourth Proportional to 404.72, 606.14 and 242.05

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Solution

The fourth proportional to 404.72, 606.14 and 242.05 is: 362.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.72 : 606.14 = 242.05 : x
  2. Step 2: Convert to fraction form
    404.72/606.14 = 242.05/x
  3. Step 3: Cross multiply
    404.72x = 606.14 × 242.05
  4. Step 4: Simplify right side
    404.72x = 146,713.16
  5. Step 5: Solve for x
    x = 146,713.16/404.72
  6. Step 6: Final answer
    x = 362.51

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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.