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Finding the Fourth Proportional to 541.53, 811.08 and 297.90

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Solution

The fourth proportional to 541.53, 811.08 and 297.90 is: 446.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.53 : 811.08 = 297.90 : x
  2. Step 2: Convert to fraction form
    541.53/811.08 = 297.90/x
  3. Step 3: Cross multiply
    541.53x = 811.08 × 297.90
  4. Step 4: Simplify right side
    541.53x = 241,620.73
  5. Step 5: Solve for x
    x = 241,620.73/541.53
  6. Step 6: Final answer
    x = 446.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.