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Finding the Fourth Proportional to 386.59, 533.47 and 211.90

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Solution

The fourth proportional to 386.59, 533.47 and 211.90 is: 292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.59 : 533.47 = 211.90 : x
  2. Step 2: Convert to fraction form
    386.59/533.47 = 211.90/x
  3. Step 3: Cross multiply
    386.59x = 533.47 × 211.90
  4. Step 4: Simplify right side
    386.59x = 113,038.57
  5. Step 5: Solve for x
    x = 113,038.57/386.59
  6. Step 6: Final answer
    x = 292.40

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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.