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Finding the Fourth Proportional to 546.74, 754.24 and 389.40

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Solution

The fourth proportional to 546.74, 754.24 and 389.40 is: 537.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.74 : 754.24 = 389.40 : x
  2. Step 2: Convert to fraction form
    546.74/754.24 = 389.40/x
  3. Step 3: Cross multiply
    546.74x = 754.24 × 389.40
  4. Step 4: Simplify right side
    546.74x = 293,701.06
  5. Step 5: Solve for x
    x = 293,701.06/546.74
  6. Step 6: Final answer
    x = 537.19

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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.