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Finding the Fourth Proportional to 534.86, 737.89 and 301.94

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Solution

The fourth proportional to 534.86, 737.89 and 301.94 is: 416.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.86 : 737.89 = 301.94 : x
  2. Step 2: Convert to fraction form
    534.86/737.89 = 301.94/x
  3. Step 3: Cross multiply
    534.86x = 737.89 × 301.94
  4. Step 4: Simplify right side
    534.86x = 222,798.51
  5. Step 5: Solve for x
    x = 222,798.51/534.86
  6. Step 6: Final answer
    x = 416.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.