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Finding the Fourth Proportional to 606, 909 and 424.56

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Solution

The fourth proportional to 606, 909 and 424.56 is: 636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    606 : 909 = 424.56 : x
  2. Step 2: Convert to fraction form
    606/909 = 424.56/x
  3. Step 3: Cross multiply
    606x = 909 × 424.56
  4. Step 4: Simplify right side
    606x = 385,925.04
  5. Step 5: Solve for x
    x = 385,925.04/606
  6. Step 6: Final answer
    x = 636.84

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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.