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Finding the Fourth Proportional to 527.05, 727.32 and 306.04

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Solution

The fourth proportional to 527.05, 727.32 and 306.04 is: 422.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.05 : 727.32 = 306.04 : x
  2. Step 2: Convert to fraction form
    527.05/727.32 = 306.04/x
  3. Step 3: Cross multiply
    527.05x = 727.32 × 306.04
  4. Step 4: Simplify right side
    527.05x = 222,587.19
  5. Step 5: Solve for x
    x = 222,587.19/527.05
  6. Step 6: Final answer
    x = 422.33

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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.