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Finding the Fourth Proportional to 512.30, 770.00 and 339.56

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Solution

The fourth proportional to 512.30, 770.00 and 339.56 is: 510.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.30 : 770.00 = 339.56 : x
  2. Step 2: Convert to fraction form
    512.30/770.00 = 339.56/x
  3. Step 3: Cross multiply
    512.30x = 770.00 × 339.56
  4. Step 4: Simplify right side
    512.30x = 261,455.65
  5. Step 5: Solve for x
    x = 261,455.65/512.30
  6. Step 6: Final answer
    x = 510.35

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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.