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Finding the Fourth Proportional to 527.73, 727.83 and 397.14

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Solution

The fourth proportional to 527.73, 727.83 and 397.14 is: 547.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.73 : 727.83 = 397.14 : x
  2. Step 2: Convert to fraction form
    527.73/727.83 = 397.14/x
  3. Step 3: Cross multiply
    527.73x = 727.83 × 397.14
  4. Step 4: Simplify right side
    527.73x = 289,050.41
  5. Step 5: Solve for x
    x = 289,050.41/527.73
  6. Step 6: Final answer
    x = 547.72

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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.