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Finding the Fourth Proportional to 513.24, 770.12 and 351.04

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Solution

The fourth proportional to 513.24, 770.12 and 351.04 is: 526.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.24 : 770.12 = 351.04 : x
  2. Step 2: Convert to fraction form
    513.24/770.12 = 351.04/x
  3. Step 3: Cross multiply
    513.24x = 770.12 × 351.04
  4. Step 4: Simplify right side
    513.24x = 270,342.92
  5. Step 5: Solve for x
    x = 270,342.92/513.24
  6. Step 6: Final answer
    x = 526.74

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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.