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Finding the Fourth Proportional to 426.76, 587.56 and 295.54

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Solution

The fourth proportional to 426.76, 587.56 and 295.54 is: 406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.76 : 587.56 = 295.54 : x
  2. Step 2: Convert to fraction form
    426.76/587.56 = 295.54/x
  3. Step 3: Cross multiply
    426.76x = 587.56 × 295.54
  4. Step 4: Simplify right side
    426.76x = 173,646.00
  5. Step 5: Solve for x
    x = 173,646.00/426.76
  6. Step 6: Final answer
    x = 406.89

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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.