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Finding the Fourth Proportional to 426.15, 587.72 and 343.23

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Solution

The fourth proportional to 426.15, 587.72 and 343.23 is: 473.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.15 : 587.72 = 343.23 : x
  2. Step 2: Convert to fraction form
    426.15/587.72 = 343.23/x
  3. Step 3: Cross multiply
    426.15x = 587.72 × 343.23
  4. Step 4: Simplify right side
    426.15x = 201,721.42
  5. Step 5: Solve for x
    x = 201,721.42/426.15
  6. Step 6: Final answer
    x = 473.36

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