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Finding the Fourth Proportional to 835.44, 1,252.32 and 287.10

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Solution

The fourth proportional to 835.44, 1,252.32 and 287.10 is: 430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.44 : 1,252.32 = 287.10 : x
  2. Step 2: Convert to fraction form
    835.44/1,252.32 = 287.10/x
  3. Step 3: Cross multiply
    835.44x = 1,252.32 × 287.10
  4. Step 4: Simplify right side
    835.44x = 359,541.07
  5. Step 5: Solve for x
    x = 359,541.07/835.44
  6. Step 6: Final answer
    x = 430.36

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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.