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Finding the Fourth Proportional to 606.30, 909.05 and 442.41

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Solution

The fourth proportional to 606.30, 909.05 and 442.41 is: 663.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.30 : 909.05 = 442.41 : x
  2. Step 2: Convert to fraction form
    606.30/909.05 = 442.41/x
  3. Step 3: Cross multiply
    606.30x = 909.05 × 442.41
  4. Step 4: Simplify right side
    606.30x = 402,170.60
  5. Step 5: Solve for x
    x = 402,170.60/606.30
  6. Step 6: Final answer
    x = 663.32

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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.