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Finding the Fourth Proportional to 527.25, 727.68 and 511.11

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Solution

The fourth proportional to 527.25, 727.68 and 511.11 is: 705.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.25 : 727.68 = 511.11 : x
  2. Step 2: Convert to fraction form
    527.25/727.68 = 511.11/x
  3. Step 3: Cross multiply
    527.25x = 727.68 × 511.11
  4. Step 4: Simplify right side
    527.25x = 371,926.30
  5. Step 5: Solve for x
    x = 371,926.30/527.25
  6. Step 6: Final answer
    x = 705.41

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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.