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Finding the Fourth Proportional to 369.69, 510.05 and 229.76

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Solution

The fourth proportional to 369.69, 510.05 and 229.76 is: 316.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.69 : 510.05 = 229.76 : x
  2. Step 2: Convert to fraction form
    369.69/510.05 = 229.76/x
  3. Step 3: Cross multiply
    369.69x = 510.05 × 229.76
  4. Step 4: Simplify right side
    369.69x = 117,189.09
  5. Step 5: Solve for x
    x = 117,189.09/369.69
  6. Step 6: Final answer
    x = 316.99

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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.