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Finding the Fourth Proportional to 606.19, 909.89 and 433.06

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Solution

The fourth proportional to 606.19, 909.89 and 433.06 is: 650.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.19 : 909.89 = 433.06 : x
  2. Step 2: Convert to fraction form
    606.19/909.89 = 433.06/x
  3. Step 3: Cross multiply
    606.19x = 909.89 × 433.06
  4. Step 4: Simplify right side
    606.19x = 394,036.96
  5. Step 5: Solve for x
    x = 394,036.96/606.19
  6. Step 6: Final answer
    x = 650.02

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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.