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Finding the Fourth Proportional to 425.80, 587.67 and 257.77

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Solution

The fourth proportional to 425.80, 587.67 and 257.77 is: 355.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.80 : 587.67 = 257.77 : x
  2. Step 2: Convert to fraction form
    425.80/587.67 = 257.77/x
  3. Step 3: Cross multiply
    425.80x = 587.67 × 257.77
  4. Step 4: Simplify right side
    425.80x = 151,480.76
  5. Step 5: Solve for x
    x = 151,480.76/425.80
  6. Step 6: Final answer
    x = 355.76

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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.