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Finding the Fourth Proportional to 513.71, 770.70 and 270.17

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Solution

The fourth proportional to 513.71, 770.70 and 270.17 is: 405.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.71 : 770.70 = 270.17 : x
  2. Step 2: Convert to fraction form
    513.71/770.70 = 270.17/x
  3. Step 3: Cross multiply
    513.71x = 770.70 × 270.17
  4. Step 4: Simplify right side
    513.71x = 208,220.02
  5. Step 5: Solve for x
    x = 208,220.02/513.71
  6. Step 6: Final answer
    x = 405.33

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1.5x scale

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.