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Finding the Fourth Proportional to 380.72, 573.92 and 317

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Solution

The fourth proportional to 380.72, 573.92 and 317 is: 477.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.72 : 573.92 = 317 : x
  2. Step 2: Convert to fraction form
    380.72/573.92 = 317/x
  3. Step 3: Cross multiply
    380.72x = 573.92 × 317
  4. Step 4: Simplify right side
    380.72x = 181,932.64
  5. Step 5: Solve for x
    x = 181,932.64/380.72
  6. Step 6: Final answer
    x = 477.86

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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.