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Finding the Fourth Proportional to 440.53, 608.25 and 293.47

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Solution

The fourth proportional to 440.53, 608.25 and 293.47 is: 405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.53 : 608.25 = 293.47 : x
  2. Step 2: Convert to fraction form
    440.53/608.25 = 293.47/x
  3. Step 3: Cross multiply
    440.53x = 608.25 × 293.47
  4. Step 4: Simplify right side
    440.53x = 178,503.13
  5. Step 5: Solve for x
    x = 178,503.13/440.53
  6. Step 6: Final answer
    x = 405.20

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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.