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Finding the Fourth Proportional to 527.70, 728.31 and 403.12

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Solution

The fourth proportional to 527.70, 728.31 and 403.12 is: 556.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.70 : 728.31 = 403.12 : x
  2. Step 2: Convert to fraction form
    527.70/728.31 = 403.12/x
  3. Step 3: Cross multiply
    527.70x = 728.31 × 403.12
  4. Step 4: Simplify right side
    527.70x = 293,596.33
  5. Step 5: Solve for x
    x = 293,596.33/527.70
  6. Step 6: Final answer
    x = 556.37

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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.