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Finding the Fourth Proportional to 369.82, 510.35 and 229.99

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Solution

The fourth proportional to 369.82, 510.35 and 229.99 is: 317.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.82 : 510.35 = 229.99 : x
  2. Step 2: Convert to fraction form
    369.82/510.35 = 229.99/x
  3. Step 3: Cross multiply
    369.82x = 510.35 × 229.99
  4. Step 4: Simplify right side
    369.82x = 117,375.22
  5. Step 5: Solve for x
    x = 117,375.22/369.82
  6. Step 6: Final answer
    x = 317.39

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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.