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Finding the Fourth Proportional to 864.33, 1,296.63 and 317.28

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Solution

The fourth proportional to 864.33, 1,296.63 and 317.28 is: 475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.33 : 1,296.63 = 317.28 : x
  2. Step 2: Convert to fraction form
    864.33/1,296.63 = 317.28/x
  3. Step 3: Cross multiply
    864.33x = 1,296.63 × 317.28
  4. Step 4: Simplify right side
    864.33x = 411,392.71
  5. Step 5: Solve for x
    x = 411,392.71/864.33
  6. Step 6: Final answer
    x = 475.97

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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.