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Finding the Fourth Proportional to 527.26, 727.63 and 291.21

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Solution

The fourth proportional to 527.26, 727.63 and 291.21 is: 401.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.26 : 727.63 = 291.21 : x
  2. Step 2: Convert to fraction form
    527.26/727.63 = 291.21/x
  3. Step 3: Cross multiply
    527.26x = 727.63 × 291.21
  4. Step 4: Simplify right side
    527.26x = 211,888.04
  5. Step 5: Solve for x
    x = 211,888.04/527.26
  6. Step 6: Final answer
    x = 401.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.