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Finding the Fourth Proportional to 534.09, 737.10 and 337.57

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Solution

The fourth proportional to 534.09, 737.10 and 337.57 is: 465.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.09 : 737.10 = 337.57 : x
  2. Step 2: Convert to fraction form
    534.09/737.10 = 337.57/x
  3. Step 3: Cross multiply
    534.09x = 737.10 × 337.57
  4. Step 4: Simplify right side
    534.09x = 248,821.00
  5. Step 5: Solve for x
    x = 248,821.00/534.09
  6. Step 6: Final answer
    x = 465.88

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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.