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Finding the Fourth Proportional to 597.76, 892.44 and 505.48

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Solution

The fourth proportional to 597.76, 892.44 and 505.48 is: 754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.76 : 892.44 = 505.48 : x
  2. Step 2: Convert to fraction form
    597.76/892.44 = 505.48/x
  3. Step 3: Cross multiply
    597.76x = 892.44 × 505.48
  4. Step 4: Simplify right side
    597.76x = 451,110.57
  5. Step 5: Solve for x
    x = 451,110.57/597.76
  6. Step 6: Final answer
    x = 754.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.