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Finding the Fourth Proportional to 534.93, 738.21 and 302.06

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Solution

The fourth proportional to 534.93, 738.21 and 302.06 is: 416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.93 : 738.21 = 302.06 : x
  2. Step 2: Convert to fraction form
    534.93/738.21 = 302.06/x
  3. Step 3: Cross multiply
    534.93x = 738.21 × 302.06
  4. Step 4: Simplify right side
    534.93x = 222,980.02
  5. Step 5: Solve for x
    x = 222,980.02/534.93
  6. Step 6: Final answer
    x = 416.84

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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.