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Finding the Fourth Proportional to 367.41, 549.87 and 357.54

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Solution

The fourth proportional to 367.41, 549.87 and 357.54 is: 535.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.41 : 549.87 = 357.54 : x
  2. Step 2: Convert to fraction form
    367.41/549.87 = 357.54/x
  3. Step 3: Cross multiply
    367.41x = 549.87 × 357.54
  4. Step 4: Simplify right side
    367.41x = 196,597.77
  5. Step 5: Solve for x
    x = 196,597.77/367.41
  6. Step 6: Final answer
    x = 535.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.