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Finding the Fourth Proportional to 852.57, 1,278.84 and 339.57

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Solution

The fourth proportional to 852.57, 1,278.84 and 339.57 is: 509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.57 : 1,278.84 = 339.57 : x
  2. Step 2: Convert to fraction form
    852.57/1,278.84 = 339.57/x
  3. Step 3: Cross multiply
    852.57x = 1,278.84 × 339.57
  4. Step 4: Simplify right side
    852.57x = 434,255.70
  5. Step 5: Solve for x
    x = 434,255.70/852.57
  6. Step 6: Final answer
    x = 509.35

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Double scale
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1.5x scale

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.