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Finding the Fourth Proportional to 546.25, 753.81 and 297.57

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Solution

The fourth proportional to 546.25, 753.81 and 297.57 is: 410.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.25 : 753.81 = 297.57 : x
  2. Step 2: Convert to fraction form
    546.25/753.81 = 297.57/x
  3. Step 3: Cross multiply
    546.25x = 753.81 × 297.57
  4. Step 4: Simplify right side
    546.25x = 224,305.98
  5. Step 5: Solve for x
    x = 224,305.98/546.25
  6. Step 6: Final answer
    x = 410.63

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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.