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Finding the Fourth Proportional to 527.84, 728.36 and 306.83

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Solution

The fourth proportional to 527.84, 728.36 and 306.83 is: 423.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.84 : 728.36 = 306.83 : x
  2. Step 2: Convert to fraction form
    527.84/728.36 = 306.83/x
  3. Step 3: Cross multiply
    527.84x = 728.36 × 306.83
  4. Step 4: Simplify right side
    527.84x = 223,481.16
  5. Step 5: Solve for x
    x = 223,481.16/527.84
  6. Step 6: Final answer
    x = 423.39

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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.