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Finding the Fourth Proportional to 606.35, 909.47 and 364.41

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Solution

The fourth proportional to 606.35, 909.47 and 364.41 is: 546.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.35 : 909.47 = 364.41 : x
  2. Step 2: Convert to fraction form
    606.35/909.47 = 364.41/x
  3. Step 3: Cross multiply
    606.35x = 909.47 × 364.41
  4. Step 4: Simplify right side
    606.35x = 331,418.14
  5. Step 5: Solve for x
    x = 331,418.14/606.35
  6. Step 6: Final answer
    x = 546.58

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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.