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Finding the Fourth Proportional to 527.24, 728.34 and 423.56

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Solution

The fourth proportional to 527.24, 728.34 and 423.56 is: 585.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.24 : 728.34 = 423.56 : x
  2. Step 2: Convert to fraction form
    527.24/728.34 = 423.56/x
  3. Step 3: Cross multiply
    527.24x = 728.34 × 423.56
  4. Step 4: Simplify right side
    527.24x = 308,495.69
  5. Step 5: Solve for x
    x = 308,495.69/527.24
  6. Step 6: Final answer
    x = 585.11

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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.