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Finding the Fourth Proportional to 852.29, 1,278.10 and 365

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Solution

The fourth proportional to 852.29, 1,278.10 and 365 is: 547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.29 : 1,278.10 = 365 : x
  2. Step 2: Convert to fraction form
    852.29/1,278.10 = 365/x
  3. Step 3: Cross multiply
    852.29x = 1,278.10 × 365
  4. Step 4: Simplify right side
    852.29x = 466,504.68
  5. Step 5: Solve for x
    x = 466,504.68/852.29
  6. Step 6: Final answer
    x = 547.35

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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.