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Finding the Fourth Proportional to 385.46, 531.92 and 210.77

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Solution

The fourth proportional to 385.46, 531.92 and 210.77 is: 290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.46 : 531.92 = 210.77 : x
  2. Step 2: Convert to fraction form
    385.46/531.92 = 210.77/x
  3. Step 3: Cross multiply
    385.46x = 531.92 × 210.77
  4. Step 4: Simplify right side
    385.46x = 112,111.72
  5. Step 5: Solve for x
    x = 112,111.72/385.46
  6. Step 6: Final answer
    x = 290.85

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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.