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Finding the Fourth Proportional to 527.61, 791.88 and 254.24

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Solution

The fourth proportional to 527.61, 791.88 and 254.24 is: 381.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.61 : 791.88 = 254.24 : x
  2. Step 2: Convert to fraction form
    527.61/791.88 = 254.24/x
  3. Step 3: Cross multiply
    527.61x = 791.88 × 254.24
  4. Step 4: Simplify right side
    527.61x = 201,325.63
  5. Step 5: Solve for x
    x = 201,325.63/527.61
  6. Step 6: Final answer
    x = 381.58

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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.