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Finding the Fourth Proportional to 387.74, 535.06 and 213.07

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Solution

The fourth proportional to 387.74, 535.06 and 213.07 is: 294.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.74 : 535.06 = 213.07 : x
  2. Step 2: Convert to fraction form
    387.74/535.06 = 213.07/x
  3. Step 3: Cross multiply
    387.74x = 535.06 × 213.07
  4. Step 4: Simplify right side
    387.74x = 114,005.23
  5. Step 5: Solve for x
    x = 114,005.23/387.74
  6. Step 6: Final answer
    x = 294.02

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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.