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Finding the Fourth Proportional to 369.50, 509.91 and 214.34

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Solution

The fourth proportional to 369.50, 509.91 and 214.34 is: 295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.50 : 509.91 = 214.34 : x
  2. Step 2: Convert to fraction form
    369.50/509.91 = 214.34/x
  3. Step 3: Cross multiply
    369.50x = 509.91 × 214.34
  4. Step 4: Simplify right side
    369.50x = 109,294.11
  5. Step 5: Solve for x
    x = 109,294.11/369.50
  6. Step 6: Final answer
    x = 295.79

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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.