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Finding the Fourth Proportional to 385.48, 531.96 and 210.82

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Solution

The fourth proportional to 385.48, 531.96 and 210.82 is: 290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.48 : 531.96 = 210.82 : x
  2. Step 2: Convert to fraction form
    385.48/531.96 = 210.82/x
  3. Step 3: Cross multiply
    385.48x = 531.96 × 210.82
  4. Step 4: Simplify right side
    385.48x = 112,147.81
  5. Step 5: Solve for x
    x = 112,147.81/385.48
  6. Step 6: Final answer
    x = 290.93

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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.