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Finding the Fourth Proportional to 546.69, 754.41 and 298.00

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Solution

The fourth proportional to 546.69, 754.41 and 298.00 is: 411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.69 : 754.41 = 298.00 : x
  2. Step 2: Convert to fraction form
    546.69/754.41 = 298.00/x
  3. Step 3: Cross multiply
    546.69x = 754.41 × 298.00
  4. Step 4: Simplify right side
    546.69x = 224,816.24
  5. Step 5: Solve for x
    x = 224,816.24/546.69
  6. Step 6: Final answer
    x = 411.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.