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Finding the Fourth Proportional to 606.78, 909.36 and 318.42

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Solution

The fourth proportional to 606.78, 909.36 and 318.42 is: 477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.78 : 909.36 = 318.42 : x
  2. Step 2: Convert to fraction form
    606.78/909.36 = 318.42/x
  3. Step 3: Cross multiply
    606.78x = 909.36 × 318.42
  4. Step 4: Simplify right side
    606.78x = 289,558.41
  5. Step 5: Solve for x
    x = 289,558.41/606.78
  6. Step 6: Final answer
    x = 477.20

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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.