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Finding the Fourth Proportional to 440.93, 661.64 and 224.53

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Solution

The fourth proportional to 440.93, 661.64 and 224.53 is: 336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.93 : 661.64 = 224.53 : x
  2. Step 2: Convert to fraction form
    440.93/661.64 = 224.53/x
  3. Step 3: Cross multiply
    440.93x = 661.64 × 224.53
  4. Step 4: Simplify right side
    440.93x = 148,558.03
  5. Step 5: Solve for x
    x = 148,558.03/440.93
  6. Step 6: Final answer
    x = 336.92

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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.