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Finding the Fourth Proportional to 385.74, 532.32 and 211.08

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Solution

The fourth proportional to 385.74, 532.32 and 211.08 is: 291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.74 : 532.32 = 211.08 : x
  2. Step 2: Convert to fraction form
    385.74/532.32 = 211.08/x
  3. Step 3: Cross multiply
    385.74x = 532.32 × 211.08
  4. Step 4: Simplify right side
    385.74x = 112,362.11
  5. Step 5: Solve for x
    x = 112,362.11/385.74
  6. Step 6: Final answer
    x = 291.29

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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.