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Finding the Fourth Proportional to 340.37, 510.75 and 306.75

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Solution

The fourth proportional to 340.37, 510.75 and 306.75 is: 460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.37 : 510.75 = 306.75 : x
  2. Step 2: Convert to fraction form
    340.37/510.75 = 306.75/x
  3. Step 3: Cross multiply
    340.37x = 510.75 × 306.75
  4. Step 4: Simplify right side
    340.37x = 156,672.56
  5. Step 5: Solve for x
    x = 156,672.56/340.37
  6. Step 6: Final answer
    x = 460.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.