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Finding the Fourth Proportional to 852.68, 1,279.10 and 365.64

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Solution

The fourth proportional to 852.68, 1,279.10 and 365.64 is: 548.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.68 : 1,279.10 = 365.64 : x
  2. Step 2: Convert to fraction form
    852.68/1,279.10 = 365.64/x
  3. Step 3: Cross multiply
    852.68x = 1,279.10 × 365.64
  4. Step 4: Simplify right side
    852.68x = 467,690.12
  5. Step 5: Solve for x
    x = 467,690.12/852.68
  6. Step 6: Final answer
    x = 548.49

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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.