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Finding the Fourth Proportional to 527.78, 728.37 and 350.43

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Solution

The fourth proportional to 527.78, 728.37 and 350.43 is: 483.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.78 : 728.37 = 350.43 : x
  2. Step 2: Convert to fraction form
    527.78/728.37 = 350.43/x
  3. Step 3: Cross multiply
    527.78x = 728.37 × 350.43
  4. Step 4: Simplify right side
    527.78x = 255,242.70
  5. Step 5: Solve for x
    x = 255,242.70/527.78
  6. Step 6: Final answer
    x = 483.62

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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.