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Finding the Fourth Proportional to 852.10, 1,276.95 and 338.50

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Solution

The fourth proportional to 852.10, 1,276.95 and 338.50 is: 507.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.10 : 1,276.95 = 338.50 : x
  2. Step 2: Convert to fraction form
    852.10/1,276.95 = 338.50/x
  3. Step 3: Cross multiply
    852.10x = 1,276.95 × 338.50
  4. Step 4: Simplify right side
    852.10x = 432,247.58
  5. Step 5: Solve for x
    x = 432,247.58/852.10
  6. Step 6: Final answer
    x = 507.27

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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.