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Finding the Fourth Proportional to 527.75, 728.30 and 294.88

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Solution

The fourth proportional to 527.75, 728.30 and 294.88 is: 406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.75 : 728.30 = 294.88 : x
  2. Step 2: Convert to fraction form
    527.75/728.30 = 294.88/x
  3. Step 3: Cross multiply
    527.75x = 728.30 × 294.88
  4. Step 4: Simplify right side
    527.75x = 214,761.10
  5. Step 5: Solve for x
    x = 214,761.10/527.75
  6. Step 6: Final answer
    x = 406.94

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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.