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Finding the Fourth Proportional to 606.20, 909.68 and 401.16

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Solution

The fourth proportional to 606.20, 909.68 and 401.16 is: 601.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.20 : 909.68 = 401.16 : x
  2. Step 2: Convert to fraction form
    606.20/909.68 = 401.16/x
  3. Step 3: Cross multiply
    606.20x = 909.68 × 401.16
  4. Step 4: Simplify right side
    606.20x = 364,927.23
  5. Step 5: Solve for x
    x = 364,927.23/606.20
  6. Step 6: Final answer
    x = 601.99

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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.