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Finding the Fourth Proportional to 608, 909.96 and 446

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Solution

The fourth proportional to 608, 909.96 and 446 is: 667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    608 : 909.96 = 446 : x
  2. Step 2: Convert to fraction form
    608/909.96 = 446/x
  3. Step 3: Cross multiply
    608x = 909.96 × 446
  4. Step 4: Simplify right side
    608x = 405,842.16
  5. Step 5: Solve for x
    x = 405,842.16/608
  6. Step 6: Final answer
    x = 667.50

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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.