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Finding the Fourth Proportional to 310.68, 467.10 and 294.39

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Solution

The fourth proportional to 310.68, 467.10 and 294.39 is: 442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.68 : 467.10 = 294.39 : x
  2. Step 2: Convert to fraction form
    310.68/467.10 = 294.39/x
  3. Step 3: Cross multiply
    310.68x = 467.10 × 294.39
  4. Step 4: Simplify right side
    310.68x = 137,509.57
  5. Step 5: Solve for x
    x = 137,509.57/310.68
  6. Step 6: Final answer
    x = 442.61

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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.