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Finding the Fourth Proportional to 527.50, 727.96 and 294.62

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Solution

The fourth proportional to 527.50, 727.96 and 294.62 is: 406.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.50 : 727.96 = 294.62 : x
  2. Step 2: Convert to fraction form
    527.50/727.96 = 294.62/x
  3. Step 3: Cross multiply
    527.50x = 727.96 × 294.62
  4. Step 4: Simplify right side
    527.50x = 214,471.58
  5. Step 5: Solve for x
    x = 214,471.58/527.50
  6. Step 6: Final answer
    x = 406.58

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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.