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Finding the Fourth Proportional to 513.71, 770.69 and 189.08

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Solution

The fourth proportional to 513.71, 770.69 and 189.08 is: 283.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.71 : 770.69 = 189.08 : x
  2. Step 2: Convert to fraction form
    513.71/770.69 = 189.08/x
  3. Step 3: Cross multiply
    513.71x = 770.69 × 189.08
  4. Step 4: Simplify right side
    513.71x = 145,722.07
  5. Step 5: Solve for x
    x = 145,722.07/513.71
  6. Step 6: Final answer
    x = 283.67

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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.