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Finding the Fourth Proportional to 864.65, 1,295.96 and 316.48

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Solution

The fourth proportional to 864.65, 1,295.96 and 316.48 is: 474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.65 : 1,295.96 = 316.48 : x
  2. Step 2: Convert to fraction form
    864.65/1,295.96 = 316.48/x
  3. Step 3: Cross multiply
    864.65x = 1,295.96 × 316.48
  4. Step 4: Simplify right side
    864.65x = 410,145.42
  5. Step 5: Solve for x
    x = 410,145.42/864.65
  6. Step 6: Final answer
    x = 474.35

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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.