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Finding the Fourth Proportional to 369.17, 509.85 and 229.62

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Solution

The fourth proportional to 369.17, 509.85 and 229.62 is: 317.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.17 : 509.85 = 229.62 : x
  2. Step 2: Convert to fraction form
    369.17/509.85 = 229.62/x
  3. Step 3: Cross multiply
    369.17x = 509.85 × 229.62
  4. Step 4: Simplify right side
    369.17x = 117,071.76
  5. Step 5: Solve for x
    x = 117,071.76/369.17
  6. Step 6: Final answer
    x = 317.12

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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.