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Finding the Fourth Proportional to 440.99, 608.00 and 322.86

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Solution

The fourth proportional to 440.99, 608.00 and 322.86 is: 445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.99 : 608.00 = 322.86 : x
  2. Step 2: Convert to fraction form
    440.99/608.00 = 322.86/x
  3. Step 3: Cross multiply
    440.99x = 608.00 × 322.86
  4. Step 4: Simplify right side
    440.99x = 196,297.27
  5. Step 5: Solve for x
    x = 196,297.27/440.99
  6. Step 6: Final answer
    x = 445.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.