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Finding the Fourth Proportional to 736.46, 1,016.30 and 441.74

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Solution

The fourth proportional to 736.46, 1,016.30 and 441.74 is: 609.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.46 : 1,016.30 = 441.74 : x
  2. Step 2: Convert to fraction form
    736.46/1,016.30 = 441.74/x
  3. Step 3: Cross multiply
    736.46x = 1,016.30 × 441.74
  4. Step 4: Simplify right side
    736.46x = 448,935.28
  5. Step 5: Solve for x
    x = 448,935.28/736.46
  6. Step 6: Final answer
    x = 609.59

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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.