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Finding the Fourth Proportional to 852.13, 1,278.27 and 332.17

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Solution

The fourth proportional to 852.13, 1,278.27 and 332.17 is: 498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.13 : 1,278.27 = 332.17 : x
  2. Step 2: Convert to fraction form
    852.13/1,278.27 = 332.17/x
  3. Step 3: Cross multiply
    852.13x = 1,278.27 × 332.17
  4. Step 4: Simplify right side
    852.13x = 424,602.95
  5. Step 5: Solve for x
    x = 424,602.95/852.13
  6. Step 6: Final answer
    x = 498.28

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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.