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Finding the Fourth Proportional to 388.19, 535.70 and 213.53

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Solution

The fourth proportional to 388.19, 535.70 and 213.53 is: 294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.19 : 535.70 = 213.53 : x
  2. Step 2: Convert to fraction form
    388.19/535.70 = 213.53/x
  3. Step 3: Cross multiply
    388.19x = 535.70 × 213.53
  4. Step 4: Simplify right side
    388.19x = 114,389.36
  5. Step 5: Solve for x
    x = 114,389.36/388.19
  6. Step 6: Final answer
    x = 294.68

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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.