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Finding the Fourth Proportional to 527.78, 728.30 and 294.90

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Solution

The fourth proportional to 527.78, 728.30 and 294.90 is: 406.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.78 : 728.30 = 294.90 : x
  2. Step 2: Convert to fraction form
    527.78/728.30 = 294.90/x
  3. Step 3: Cross multiply
    527.78x = 728.30 × 294.90
  4. Step 4: Simplify right side
    527.78x = 214,775.67
  5. Step 5: Solve for x
    x = 214,775.67/527.78
  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.