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Finding the Fourth Proportional to 534.94, 738.21 and 302.06

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Solution

The fourth proportional to 534.94, 738.21 and 302.06 is: 416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.94 : 738.21 = 302.06 : x
  2. Step 2: Convert to fraction form
    534.94/738.21 = 302.06/x
  3. Step 3: Cross multiply
    534.94x = 738.21 × 302.06
  4. Step 4: Simplify right side
    534.94x = 222,986.69
  5. Step 5: Solve for x
    x = 222,986.69/534.94
  6. Step 6: Final answer
    x = 416.85

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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.