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Finding the Fourth Proportional to 367.87, 507.98 and 257.57

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Solution

The fourth proportional to 367.87, 507.98 and 257.57 is: 355.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.87 : 507.98 = 257.57 : x
  2. Step 2: Convert to fraction form
    367.87/507.98 = 257.57/x
  3. Step 3: Cross multiply
    367.87x = 507.98 × 257.57
  4. Step 4: Simplify right side
    367.87x = 130,840.41
  5. Step 5: Solve for x
    x = 130,840.41/367.87
  6. Step 6: Final answer
    x = 355.67

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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.