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Finding the Fourth Proportional to 534.92, 738.36 and 313.93

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Solution

The fourth proportional to 534.92, 738.36 and 313.93 is: 433.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.92 : 738.36 = 313.93 : x
  2. Step 2: Convert to fraction form
    534.92/738.36 = 313.93/x
  3. Step 3: Cross multiply
    534.92x = 738.36 × 313.93
  4. Step 4: Simplify right side
    534.92x = 231,791.51
  5. Step 5: Solve for x
    x = 231,791.51/534.92
  6. Step 6: Final answer
    x = 433.32

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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.