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Finding the Fourth Proportional to 312.08, 469.96 and 293.85

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Solution

The fourth proportional to 312.08, 469.96 and 293.85 is: 442.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.08 : 469.96 = 293.85 : x
  2. Step 2: Convert to fraction form
    312.08/469.96 = 293.85/x
  3. Step 3: Cross multiply
    312.08x = 469.96 × 293.85
  4. Step 4: Simplify right side
    312.08x = 138,097.01
  5. Step 5: Solve for x
    x = 138,097.01/312.08
  6. Step 6: Final answer
    x = 442.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.