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Finding the Fourth Proportional to 369.05, 508.92 and 229.19

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Solution

The fourth proportional to 369.05, 508.92 and 229.19 is: 316.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.05 : 508.92 = 229.19 : x
  2. Step 2: Convert to fraction form
    369.05/508.92 = 229.19/x
  3. Step 3: Cross multiply
    369.05x = 508.92 × 229.19
  4. Step 4: Simplify right side
    369.05x = 116,636.83
  5. Step 5: Solve for x
    x = 116,636.83/369.05
  6. Step 6: Final answer
    x = 316.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.