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Finding the Fourth Proportional to 527.01, 727.18 and 305.91

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Solution

The fourth proportional to 527.01, 727.18 and 305.91 is: 422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.01 : 727.18 = 305.91 : x
  2. Step 2: Convert to fraction form
    527.01/727.18 = 305.91/x
  3. Step 3: Cross multiply
    527.01x = 727.18 × 305.91
  4. Step 4: Simplify right side
    527.01x = 222,451.63
  5. Step 5: Solve for x
    x = 222,451.63/527.01
  6. Step 6: Final answer
    x = 422.10

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