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Finding the Fourth Proportional to 315.61, 472.53 and 238.33

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Solution

The fourth proportional to 315.61, 472.53 and 238.33 is: 356.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.61 : 472.53 = 238.33 : x
  2. Step 2: Convert to fraction form
    315.61/472.53 = 238.33/x
  3. Step 3: Cross multiply
    315.61x = 472.53 × 238.33
  4. Step 4: Simplify right side
    315.61x = 112,618.07
  5. Step 5: Solve for x
    x = 112,618.07/315.61
  6. Step 6: Final answer
    x = 356.83

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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.