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Finding the Fourth Proportional to 364.95, 547.83 and 271.26

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Solution

The fourth proportional to 364.95, 547.83 and 271.26 is: 407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.95 : 547.83 = 271.26 : x
  2. Step 2: Convert to fraction form
    364.95/547.83 = 271.26/x
  3. Step 3: Cross multiply
    364.95x = 547.83 × 271.26
  4. Step 4: Simplify right side
    364.95x = 148,604.37
  5. Step 5: Solve for x
    x = 148,604.37/364.95
  6. Step 6: Final answer
    x = 407.19

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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.