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Finding the Fourth Proportional to 541.46, 806.76 and 539.30

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Solution

The fourth proportional to 541.46, 806.76 and 539.30 is: 803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.46 : 806.76 = 539.30 : x
  2. Step 2: Convert to fraction form
    541.46/806.76 = 539.30/x
  3. Step 3: Cross multiply
    541.46x = 806.76 × 539.30
  4. Step 4: Simplify right side
    541.46x = 435,085.67
  5. Step 5: Solve for x
    x = 435,085.67/541.46
  6. Step 6: Final answer
    x = 803.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.