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Finding the Fourth Proportional to 513.96, 770.10 and 410.70

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Solution

The fourth proportional to 513.96, 770.10 and 410.70 is: 615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.96 : 770.10 = 410.70 : x
  2. Step 2: Convert to fraction form
    513.96/770.10 = 410.70/x
  3. Step 3: Cross multiply
    513.96x = 770.10 × 410.70
  4. Step 4: Simplify right side
    513.96x = 316,280.07
  5. Step 5: Solve for x
    x = 316,280.07/513.96
  6. Step 6: Final answer
    x = 615.38

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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.