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Finding the Fourth Proportional to 385.50, 532.00 and 210.86

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Solution

The fourth proportional to 385.50, 532.00 and 210.86 is: 290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.50 : 532.00 = 210.86 : x
  2. Step 2: Convert to fraction form
    385.50/532.00 = 210.86/x
  3. Step 3: Cross multiply
    385.50x = 532.00 × 210.86
  4. Step 4: Simplify right side
    385.50x = 112,175.12
  5. Step 5: Solve for x
    x = 112,175.12/385.50
  6. Step 6: Final answer
    x = 290.99

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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.