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Finding the Fourth Proportional to 519.10, 778.63 and 172.45

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Solution

The fourth proportional to 519.10, 778.63 and 172.45 is: 258.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.10 : 778.63 = 172.45 : x
  2. Step 2: Convert to fraction form
    519.10/778.63 = 172.45/x
  3. Step 3: Cross multiply
    519.10x = 778.63 × 172.45
  4. Step 4: Simplify right side
    519.10x = 134,274.74
  5. Step 5: Solve for x
    x = 134,274.74/519.10
  6. Step 6: Final answer
    x = 258.67

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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.