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Finding the Fourth Proportional to 527.23, 727.52 and 306.10

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Solution

The fourth proportional to 527.23, 727.52 and 306.10 is: 422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.23 : 727.52 = 306.10 : x
  2. Step 2: Convert to fraction form
    527.23/727.52 = 306.10/x
  3. Step 3: Cross multiply
    527.23x = 727.52 × 306.10
  4. Step 4: Simplify right side
    527.23x = 222,693.87
  5. Step 5: Solve for x
    x = 222,693.87/527.23
  6. Step 6: Final answer
    x = 422.38

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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.