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Finding the Fourth Proportional to 825.12, 1,238.04 and 312

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Solution

The fourth proportional to 825.12, 1,238.04 and 312 is: 468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.12 : 1,238.04 = 312 : x
  2. Step 2: Convert to fraction form
    825.12/1,238.04 = 312/x
  3. Step 3: Cross multiply
    825.12x = 1,238.04 × 312
  4. Step 4: Simplify right side
    825.12x = 386,268.48
  5. Step 5: Solve for x
    x = 386,268.48/825.12
  6. Step 6: Final answer
    x = 468.14

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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.