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Finding the Fourth Proportional to 317.37, 476.92 and 296.61

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Solution

The fourth proportional to 317.37, 476.92 and 296.61 is: 445.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.37 : 476.92 = 296.61 : x
  2. Step 2: Convert to fraction form
    317.37/476.92 = 296.61/x
  3. Step 3: Cross multiply
    317.37x = 476.92 × 296.61
  4. Step 4: Simplify right side
    317.37x = 141,459.24
  5. Step 5: Solve for x
    x = 141,459.24/317.37
  6. Step 6: Final answer
    x = 445.72

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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.