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Finding the Fourth Proportional to 864.31, 1,296.56 and 316.54

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Solution

The fourth proportional to 864.31, 1,296.56 and 316.54 is: 474.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.31 : 1,296.56 = 316.54 : x
  2. Step 2: Convert to fraction form
    864.31/1,296.56 = 316.54/x
  3. Step 3: Cross multiply
    864.31x = 1,296.56 × 316.54
  4. Step 4: Simplify right side
    864.31x = 410,413.10
  5. Step 5: Solve for x
    x = 410,413.10/864.31
  6. Step 6: Final answer
    x = 474.84

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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.