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Finding the Fourth Proportional to 385.77, 532.35 and 211.08

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Solution

The fourth proportional to 385.77, 532.35 and 211.08 is: 291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.77 : 532.35 = 211.08 : x
  2. Step 2: Convert to fraction form
    385.77/532.35 = 211.08/x
  3. Step 3: Cross multiply
    385.77x = 532.35 × 211.08
  4. Step 4: Simplify right side
    385.77x = 112,368.44
  5. Step 5: Solve for x
    x = 112,368.44/385.77
  6. Step 6: Final answer
    x = 291.28

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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.