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Finding the Fourth Proportional to 736.41, 1,016.28 and 421.67

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Solution

The fourth proportional to 736.41, 1,016.28 and 421.67 is: 581.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.41 : 1,016.28 = 421.67 : x
  2. Step 2: Convert to fraction form
    736.41/1,016.28 = 421.67/x
  3. Step 3: Cross multiply
    736.41x = 1,016.28 × 421.67
  4. Step 4: Simplify right side
    736.41x = 428,537.33
  5. Step 5: Solve for x
    x = 428,537.33/736.41
  6. Step 6: Final answer
    x = 581.93

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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.