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Finding the Fourth Proportional to 456.65, 685.43 and 310.41

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Solution

The fourth proportional to 456.65, 685.43 and 310.41 is: 465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.65 : 685.43 = 310.41 : x
  2. Step 2: Convert to fraction form
    456.65/685.43 = 310.41/x
  3. Step 3: Cross multiply
    456.65x = 685.43 × 310.41
  4. Step 4: Simplify right side
    456.65x = 212,763.94
  5. Step 5: Solve for x
    x = 212,763.94/456.65
  6. Step 6: Final answer
    x = 465.92

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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.