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Finding the Fourth Proportional to 864.77, 1,296.41 and 316.83

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Solution

The fourth proportional to 864.77, 1,296.41 and 316.83 is: 474.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.77 : 1,296.41 = 316.83 : x
  2. Step 2: Convert to fraction form
    864.77/1,296.41 = 316.83/x
  3. Step 3: Cross multiply
    864.77x = 1,296.41 × 316.83
  4. Step 4: Simplify right side
    864.77x = 410,744.86
  5. Step 5: Solve for x
    x = 410,744.86/864.77
  6. Step 6: Final answer
    x = 474.98

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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.