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Finding the Fourth Proportional to 534.06, 736.98 and 313.03

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Solution

The fourth proportional to 534.06, 736.98 and 313.03 is: 431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.06 : 736.98 = 313.03 : x
  2. Step 2: Convert to fraction form
    534.06/736.98 = 313.03/x
  3. Step 3: Cross multiply
    534.06x = 736.98 × 313.03
  4. Step 4: Simplify right side
    534.06x = 230,696.85
  5. Step 5: Solve for x
    x = 230,696.85/534.06
  6. Step 6: Final answer
    x = 431.97

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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.