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Finding the Fourth Proportional to 316.08, 472.14 and 244.08

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Solution

The fourth proportional to 316.08, 472.14 and 244.08 is: 364.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.08 : 472.14 = 244.08 : x
  2. Step 2: Convert to fraction form
    316.08/472.14 = 244.08/x
  3. Step 3: Cross multiply
    316.08x = 472.14 × 244.08
  4. Step 4: Simplify right side
    316.08x = 115,239.93
  5. Step 5: Solve for x
    x = 115,239.93/316.08
  6. Step 6: Final answer
    x = 364.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.