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Finding the Fourth Proportional to 527.53, 791.72 and 296.65

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Solution

The fourth proportional to 527.53, 791.72 and 296.65 is: 445.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.53 : 791.72 = 296.65 : x
  2. Step 2: Convert to fraction form
    527.53/791.72 = 296.65/x
  3. Step 3: Cross multiply
    527.53x = 791.72 × 296.65
  4. Step 4: Simplify right side
    527.53x = 234,862.25
  5. Step 5: Solve for x
    x = 234,862.25/527.53
  6. Step 6: Final answer
    x = 445.21

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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.