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Finding the Fourth Proportional to 425.94, 587.66 and 257.87

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Solution

The fourth proportional to 425.94, 587.66 and 257.87 is: 355.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.94 : 587.66 = 257.87 : x
  2. Step 2: Convert to fraction form
    425.94/587.66 = 257.87/x
  3. Step 3: Cross multiply
    425.94x = 587.66 × 257.87
  4. Step 4: Simplify right side
    425.94x = 151,535.66
  5. Step 5: Solve for x
    x = 151,535.66/425.94
  6. Step 6: Final answer
    x = 355.77

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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.