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Finding the Fourth Proportional to 606.62, 909.19 and 459.24

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Solution

The fourth proportional to 606.62, 909.19 and 459.24 is: 688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.62 : 909.19 = 459.24 : x
  2. Step 2: Convert to fraction form
    606.62/909.19 = 459.24/x
  3. Step 3: Cross multiply
    606.62x = 909.19 × 459.24
  4. Step 4: Simplify right side
    606.62x = 417,533.58
  5. Step 5: Solve for x
    x = 417,533.58/606.62
  6. Step 6: Final answer
    x = 688.29

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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.