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Finding the Fourth Proportional to 852.81, 1,278.15 and 365.30

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Solution

The fourth proportional to 852.81, 1,278.15 and 365.30 is: 547.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.81 : 1,278.15 = 365.30 : x
  2. Step 2: Convert to fraction form
    852.81/1,278.15 = 365.30/x
  3. Step 3: Cross multiply
    852.81x = 1,278.15 × 365.30
  4. Step 4: Simplify right side
    852.81x = 466,901.80
  5. Step 5: Solve for x
    x = 466,901.80/852.81
  6. Step 6: Final answer
    x = 547.49

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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.