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Finding the Fourth Proportional to 367.95, 507.87 and 257.46

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Solution

The fourth proportional to 367.95, 507.87 and 257.46 is: 355.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.95 : 507.87 = 257.46 : x
  2. Step 2: Convert to fraction form
    367.95/507.87 = 257.46/x
  3. Step 3: Cross multiply
    367.95x = 507.87 × 257.46
  4. Step 4: Simplify right side
    367.95x = 130,756.21
  5. Step 5: Solve for x
    x = 130,756.21/367.95
  6. Step 6: Final answer
    x = 355.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.