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Finding the Fourth Proportional to 514.24, 770.91 and 189.58

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Solution

The fourth proportional to 514.24, 770.91 and 189.58 is: 284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.24 : 770.91 = 189.58 : x
  2. Step 2: Convert to fraction form
    514.24/770.91 = 189.58/x
  3. Step 3: Cross multiply
    514.24x = 770.91 × 189.58
  4. Step 4: Simplify right side
    514.24x = 146,149.12
  5. Step 5: Solve for x
    x = 146,149.12/514.24
  6. Step 6: Final answer
    x = 284.20

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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.