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Finding the Fourth Proportional to 513.46, 770.24 and 188.75

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Solution

The fourth proportional to 513.46, 770.24 and 188.75 is: 283.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.46 : 770.24 = 188.75 : x
  2. Step 2: Convert to fraction form
    513.46/770.24 = 188.75/x
  3. Step 3: Cross multiply
    513.46x = 770.24 × 188.75
  4. Step 4: Simplify right side
    513.46x = 145,385.20
  5. Step 5: Solve for x
    x = 145,385.20/513.46
  6. Step 6: Final answer
    x = 283.15

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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.