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Finding the Fourth Proportional to 365.58, 547.70 and 262.71

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Solution

The fourth proportional to 365.58, 547.70 and 262.71 is: 393.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.58 : 547.70 = 262.71 : x
  2. Step 2: Convert to fraction form
    365.58/547.70 = 262.71/x
  3. Step 3: Cross multiply
    365.58x = 547.70 × 262.71
  4. Step 4: Simplify right side
    365.58x = 143,884.95
  5. Step 5: Solve for x
    x = 143,884.95/365.58
  6. Step 6: Final answer
    x = 393.58

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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.