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Finding the Fourth Proportional to 369.39, 509.75 and 214.11

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Solution

The fourth proportional to 369.39, 509.75 and 214.11 is: 295.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.39 : 509.75 = 214.11 : x
  2. Step 2: Convert to fraction form
    369.39/509.75 = 214.11/x
  3. Step 3: Cross multiply
    369.39x = 509.75 × 214.11
  4. Step 4: Simplify right side
    369.39x = 109,141.50
  5. Step 5: Solve for x
    x = 109,141.50/369.39
  6. Step 6: Final answer
    x = 295.46

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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.