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Finding the Fourth Proportional to 513.71, 770.57 and 410.86

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Solution

The fourth proportional to 513.71, 770.57 and 410.86 is: 616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.71 : 770.57 = 410.86 : x
  2. Step 2: Convert to fraction form
    513.71/770.57 = 410.86/x
  3. Step 3: Cross multiply
    513.71x = 770.57 × 410.86
  4. Step 4: Simplify right side
    513.71x = 316,596.84
  5. Step 5: Solve for x
    x = 316,596.84/513.71
  6. Step 6: Final answer
    x = 616.30

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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.