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Finding the Fourth Proportional to 606.76, 909.06 and 415.24

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Solution

The fourth proportional to 606.76, 909.06 and 415.24 is: 622.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.76 : 909.06 = 415.24 : x
  2. Step 2: Convert to fraction form
    606.76/909.06 = 415.24/x
  3. Step 3: Cross multiply
    606.76x = 909.06 × 415.24
  4. Step 4: Simplify right side
    606.76x = 377,478.07
  5. Step 5: Solve for x
    x = 377,478.07/606.76
  6. Step 6: Final answer
    x = 622.12

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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.