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Finding the Fourth Proportional to 541.89, 811.45 and 298.15

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Solution

The fourth proportional to 541.89, 811.45 and 298.15 is: 446.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.89 : 811.45 = 298.15 : x
  2. Step 2: Convert to fraction form
    541.89/811.45 = 298.15/x
  3. Step 3: Cross multiply
    541.89x = 811.45 × 298.15
  4. Step 4: Simplify right side
    541.89x = 241,928.27
  5. Step 5: Solve for x
    x = 241,928.27/541.89
  6. Step 6: Final answer
    x = 446.45

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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.