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Finding the Fourth Proportional to 385.94, 532.59 and 211.30

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Solution

The fourth proportional to 385.94, 532.59 and 211.30 is: 291.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.94 : 532.59 = 211.30 : x
  2. Step 2: Convert to fraction form
    385.94/532.59 = 211.30/x
  3. Step 3: Cross multiply
    385.94x = 532.59 × 211.30
  4. Step 4: Simplify right side
    385.94x = 112,536.27
  5. Step 5: Solve for x
    x = 112,536.27/385.94
  6. Step 6: Final answer
    x = 291.59

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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.