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Finding the Fourth Proportional to 315.90, 473.24 and 254.95

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Solution

The fourth proportional to 315.90, 473.24 and 254.95 is: 381.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.90 : 473.24 = 254.95 : x
  2. Step 2: Convert to fraction form
    315.90/473.24 = 254.95/x
  3. Step 3: Cross multiply
    315.90x = 473.24 × 254.95
  4. Step 4: Simplify right side
    315.90x = 120,651.99
  5. Step 5: Solve for x
    x = 120,651.99/315.90
  6. Step 6: Final answer
    x = 381.93

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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.