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Finding the Fourth Proportional to 547.50, 755.67 and 340.62

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Solution

The fourth proportional to 547.50, 755.67 and 340.62 is: 470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.50 : 755.67 = 340.62 : x
  2. Step 2: Convert to fraction form
    547.50/755.67 = 340.62/x
  3. Step 3: Cross multiply
    547.50x = 755.67 × 340.62
  4. Step 4: Simplify right side
    547.50x = 257,396.32
  5. Step 5: Solve for x
    x = 257,396.32/547.50
  6. Step 6: Final answer
    x = 470.13

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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.