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Finding the Fourth Proportional to 369.54, 510.03 and 214.30

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Solution

The fourth proportional to 369.54, 510.03 and 214.30 is: 295.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.54 : 510.03 = 214.30 : x
  2. Step 2: Convert to fraction form
    369.54/510.03 = 214.30/x
  3. Step 3: Cross multiply
    369.54x = 510.03 × 214.30
  4. Step 4: Simplify right side
    369.54x = 109,299.43
  5. Step 5: Solve for x
    x = 109,299.43/369.54
  6. Step 6: Final answer
    x = 295.77

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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.