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Finding the Fourth Proportional to 340.97, 468.73 and 293.53

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Solution

The fourth proportional to 340.97, 468.73 and 293.53 is: 403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.97 : 468.73 = 293.53 : x
  2. Step 2: Convert to fraction form
    340.97/468.73 = 293.53/x
  3. Step 3: Cross multiply
    340.97x = 468.73 × 293.53
  4. Step 4: Simplify right side
    340.97x = 137,586.32
  5. Step 5: Solve for x
    x = 137,586.32/340.97
  6. Step 6: Final answer
    x = 403.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.