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Finding the Fourth Proportional to 835.21, 1,252.93 and 258.13

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Solution

The fourth proportional to 835.21, 1,252.93 and 258.13 is: 387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.21 : 1,252.93 = 258.13 : x
  2. Step 2: Convert to fraction form
    835.21/1,252.93 = 258.13/x
  3. Step 3: Cross multiply
    835.21x = 1,252.93 × 258.13
  4. Step 4: Simplify right side
    835.21x = 323,411.91
  5. Step 5: Solve for x
    x = 323,411.91/835.21
  6. Step 6: Final answer
    x = 387.22

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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.