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Finding the Fourth Proportional to 369.48, 509.86 and 214.28

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Solution

The fourth proportional to 369.48, 509.86 and 214.28 is: 295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.48 : 509.86 = 214.28 : x
  2. Step 2: Convert to fraction form
    369.48/509.86 = 214.28/x
  3. Step 3: Cross multiply
    369.48x = 509.86 × 214.28
  4. Step 4: Simplify right side
    369.48x = 109,252.80
  5. Step 5: Solve for x
    x = 109,252.80/369.48
  6. Step 6: Final answer
    x = 295.69

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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.