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Finding the Fourth Proportional to 317.31, 437.94 and 292.61

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Solution

The fourth proportional to 317.31, 437.94 and 292.61 is: 403.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.31 : 437.94 = 292.61 : x
  2. Step 2: Convert to fraction form
    317.31/437.94 = 292.61/x
  3. Step 3: Cross multiply
    317.31x = 437.94 × 292.61
  4. Step 4: Simplify right side
    317.31x = 128,143.43
  5. Step 5: Solve for x
    x = 128,143.43/317.31
  6. Step 6: Final answer
    x = 403.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.