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Finding the Fourth Proportional to 736.24, 1,016.00 and 404.66

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Solution

The fourth proportional to 736.24, 1,016.00 and 404.66 is: 558.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.24 : 1,016.00 = 404.66 : x
  2. Step 2: Convert to fraction form
    736.24/1,016.00 = 404.66/x
  3. Step 3: Cross multiply
    736.24x = 1,016.00 × 404.66
  4. Step 4: Simplify right side
    736.24x = 411,139.38
  5. Step 5: Solve for x
    x = 411,139.38/736.24
  6. Step 6: Final answer
    x = 558.43

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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.