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Finding the Fourth Proportional to 369.89, 555.99 and 342.21

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Solution

The fourth proportional to 369.89, 555.99 and 342.21 is: 514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.89 : 555.99 = 342.21 : x
  2. Step 2: Convert to fraction form
    369.89/555.99 = 342.21/x
  3. Step 3: Cross multiply
    369.89x = 555.99 × 342.21
  4. Step 4: Simplify right side
    369.89x = 190,265.34
  5. Step 5: Solve for x
    x = 190,265.34/369.89
  6. Step 6: Final answer
    x = 514.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.