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Finding the Fourth Proportional to 426.36, 587.34 and 295.14

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Solution

The fourth proportional to 426.36, 587.34 and 295.14 is: 406.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.36 : 587.34 = 295.14 : x
  2. Step 2: Convert to fraction form
    426.36/587.34 = 295.14/x
  3. Step 3: Cross multiply
    426.36x = 587.34 × 295.14
  4. Step 4: Simplify right side
    426.36x = 173,347.53
  5. Step 5: Solve for x
    x = 173,347.53/426.36
  6. Step 6: Final answer
    x = 406.58

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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.