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Finding the Fourth Proportional to 385.90, 532.55 and 211.24

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Solution

The fourth proportional to 385.90, 532.55 and 211.24 is: 291.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.90 : 532.55 = 211.24 : x
  2. Step 2: Convert to fraction form
    385.90/532.55 = 211.24/x
  3. Step 3: Cross multiply
    385.90x = 532.55 × 211.24
  4. Step 4: Simplify right side
    385.90x = 112,495.87
  5. Step 5: Solve for x
    x = 112,495.87/385.90
  6. Step 6: Final answer
    x = 291.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.