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Finding the Fourth Proportional to 527.47, 727.94 and 428.11

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Solution

The fourth proportional to 527.47, 727.94 and 428.11 is: 590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.47 : 727.94 = 428.11 : x
  2. Step 2: Convert to fraction form
    527.47/727.94 = 428.11/x
  3. Step 3: Cross multiply
    527.47x = 727.94 × 428.11
  4. Step 4: Simplify right side
    527.47x = 311,638.39
  5. Step 5: Solve for x
    x = 311,638.39/527.47
  6. Step 6: Final answer
    x = 590.82

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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.