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Finding the Fourth Proportional to 546.50, 754.32 and 369.71

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Solution

The fourth proportional to 546.50, 754.32 and 369.71 is: 510.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.50 : 754.32 = 369.71 : x
  2. Step 2: Convert to fraction form
    546.50/754.32 = 369.71/x
  3. Step 3: Cross multiply
    546.50x = 754.32 × 369.71
  4. Step 4: Simplify right side
    546.50x = 278,879.65
  5. Step 5: Solve for x
    x = 278,879.65/546.50
  6. Step 6: Final answer
    x = 510.30

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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.