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Finding the Fourth Proportional to 527.78, 727.99 and 362.07

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Solution

The fourth proportional to 527.78, 727.99 and 362.07 is: 499.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.78 : 727.99 = 362.07 : x
  2. Step 2: Convert to fraction form
    527.78/727.99 = 362.07/x
  3. Step 3: Cross multiply
    527.78x = 727.99 × 362.07
  4. Step 4: Simplify right side
    527.78x = 263,582.43
  5. Step 5: Solve for x
    x = 263,582.43/527.78
  6. Step 6: Final answer
    x = 499.41

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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.