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Finding the Fourth Proportional to 385.12, 531.46 and 210.46

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Solution

The fourth proportional to 385.12, 531.46 and 210.46 is: 290.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.12 : 531.46 = 210.46 : x
  2. Step 2: Convert to fraction form
    385.12/531.46 = 210.46/x
  3. Step 3: Cross multiply
    385.12x = 531.46 × 210.46
  4. Step 4: Simplify right side
    385.12x = 111,851.07
  5. Step 5: Solve for x
    x = 111,851.07/385.12
  6. Step 6: Final answer
    x = 290.43

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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.