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Finding the Fourth Proportional to 317.94, 476.28 and 295.44

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Solution

The fourth proportional to 317.94, 476.28 and 295.44 is: 442.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.94 : 476.28 = 295.44 : x
  2. Step 2: Convert to fraction form
    317.94/476.28 = 295.44/x
  3. Step 3: Cross multiply
    317.94x = 476.28 × 295.44
  4. Step 4: Simplify right side
    317.94x = 140,712.16
  5. Step 5: Solve for x
    x = 140,712.16/317.94
  6. Step 6: Final answer
    x = 442.57

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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.