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Finding the Fourth Proportional to 852.17, 1,278.24 and 304.34

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Solution

The fourth proportional to 852.17, 1,278.24 and 304.34 is: 456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.17 : 1,278.24 = 304.34 : x
  2. Step 2: Convert to fraction form
    852.17/1,278.24 = 304.34/x
  3. Step 3: Cross multiply
    852.17x = 1,278.24 × 304.34
  4. Step 4: Simplify right side
    852.17x = 389,013.17
  5. Step 5: Solve for x
    x = 389,013.17/852.17
  6. Step 6: Final answer
    x = 456.50

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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.