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Finding the Fourth Proportional to 315.54, 472.82 and 205.52

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Solution

The fourth proportional to 315.54, 472.82 and 205.52 is: 307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.54 : 472.82 = 205.52 : x
  2. Step 2: Convert to fraction form
    315.54/472.82 = 205.52/x
  3. Step 3: Cross multiply
    315.54x = 472.82 × 205.52
  4. Step 4: Simplify right side
    315.54x = 97,170.57
  5. Step 5: Solve for x
    x = 97,170.57/315.54
  6. Step 6: Final answer
    x = 307.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.