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Finding the Fourth Proportional to 369.64, 510.06 and 214.42

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Solution

The fourth proportional to 369.64, 510.06 and 214.42 is: 295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.64 : 510.06 = 214.42 : x
  2. Step 2: Convert to fraction form
    369.64/510.06 = 214.42/x
  3. Step 3: Cross multiply
    369.64x = 510.06 × 214.42
  4. Step 4: Simplify right side
    369.64x = 109,367.07
  5. Step 5: Solve for x
    x = 109,367.07/369.64
  6. Step 6: Final answer
    x = 295.87

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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.