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Finding the Fourth Proportional to 527.06, 727.35 and 306.05

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Solution

The fourth proportional to 527.06, 727.35 and 306.05 is: 422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.06 : 727.35 = 306.05 : x
  2. Step 2: Convert to fraction form
    527.06/727.35 = 306.05/x
  3. Step 3: Cross multiply
    527.06x = 727.35 × 306.05
  4. Step 4: Simplify right side
    527.06x = 222,605.47
  5. Step 5: Solve for x
    x = 222,605.47/527.06
  6. Step 6: Final answer
    x = 422.35

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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.