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Finding the Fourth Proportional to 513.90, 770.13 and 340.07

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Solution

The fourth proportional to 513.90, 770.13 and 340.07 is: 509.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.90 : 770.13 = 340.07 : x
  2. Step 2: Convert to fraction form
    513.90/770.13 = 340.07/x
  3. Step 3: Cross multiply
    513.90x = 770.13 × 340.07
  4. Step 4: Simplify right side
    513.90x = 261,894.26
  5. Step 5: Solve for x
    x = 261,894.26/513.90
  6. Step 6: Final answer
    x = 509.62

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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.