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Finding the Fourth Proportional to 606.23, 909.54 and 421.33

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Solution

The fourth proportional to 606.23, 909.54 and 421.33 is: 632.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.23 : 909.54 = 421.33 : x
  2. Step 2: Convert to fraction form
    606.23/909.54 = 421.33/x
  3. Step 3: Cross multiply
    606.23x = 909.54 × 421.33
  4. Step 4: Simplify right side
    606.23x = 383,212.18
  5. Step 5: Solve for x
    x = 383,212.18/606.23
  6. Step 6: Final answer
    x = 632.12

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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.