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Finding the Fourth Proportional to 385.24, 531.62 and 210.59

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Solution

The fourth proportional to 385.24, 531.62 and 210.59 is: 290.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.24 : 531.62 = 210.59 : x
  2. Step 2: Convert to fraction form
    385.24/531.62 = 210.59/x
  3. Step 3: Cross multiply
    385.24x = 531.62 × 210.59
  4. Step 4: Simplify right side
    385.24x = 111,953.86
  5. Step 5: Solve for x
    x = 111,953.86/385.24
  6. Step 6: Final answer
    x = 290.61

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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.