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Finding the Fourth Proportional to 835.60, 1,252.98 and 258.40

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Solution

The fourth proportional to 835.60, 1,252.98 and 258.40 is: 387.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.60 : 1,252.98 = 258.40 : x
  2. Step 2: Convert to fraction form
    835.60/1,252.98 = 258.40/x
  3. Step 3: Cross multiply
    835.60x = 1,252.98 × 258.40
  4. Step 4: Simplify right side
    835.60x = 323,770.03
  5. Step 5: Solve for x
    x = 323,770.03/835.60
  6. Step 6: Final answer
    x = 387.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.