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Finding the Fourth Proportional to 852.49, 1,278.75 and 332.47

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Solution

The fourth proportional to 852.49, 1,278.75 and 332.47 is: 498.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.49 : 1,278.75 = 332.47 : x
  2. Step 2: Convert to fraction form
    852.49/1,278.75 = 332.47/x
  3. Step 3: Cross multiply
    852.49x = 1,278.75 × 332.47
  4. Step 4: Simplify right side
    852.49x = 425,148.86
  5. Step 5: Solve for x
    x = 425,148.86/852.49
  6. Step 6: Final answer
    x = 498.71

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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.