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Finding the Fourth Proportional to 527.21, 727.38 and 306.10

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Solution

The fourth proportional to 527.21, 727.38 and 306.10 is: 422.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.21 : 727.38 = 306.10 : x
  2. Step 2: Convert to fraction form
    527.21/727.38 = 306.10/x
  3. Step 3: Cross multiply
    527.21x = 727.38 × 306.10
  4. Step 4: Simplify right side
    527.21x = 222,651.02
  5. Step 5: Solve for x
    x = 222,651.02/527.21
  6. Step 6: Final answer
    x = 422.32

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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.