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Finding the Fourth Proportional to 387.66, 534.96 and 213

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Solution

The fourth proportional to 387.66, 534.96 and 213 is: 293.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.66 : 534.96 = 213 : x
  2. Step 2: Convert to fraction form
    387.66/534.96 = 213/x
  3. Step 3: Cross multiply
    387.66x = 534.96 × 213
  4. Step 4: Simplify right side
    387.66x = 113,946.48
  5. Step 5: Solve for x
    x = 113,946.48/387.66
  6. Step 6: Final answer
    x = 293.93

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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.