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Finding the Fourth Proportional to 534.09, 737.01 and 298.02

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Solution

The fourth proportional to 534.09, 737.01 and 298.02 is: 411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.09 : 737.01 = 298.02 : x
  2. Step 2: Convert to fraction form
    534.09/737.01 = 298.02/x
  3. Step 3: Cross multiply
    534.09x = 737.01 × 298.02
  4. Step 4: Simplify right side
    534.09x = 219,643.72
  5. Step 5: Solve for x
    x = 219,643.72/534.09
  6. Step 6: Final answer
    x = 411.25

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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.