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Finding the Fourth Proportional to 456.95, 685.42 and 310.33

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Solution

The fourth proportional to 456.95, 685.42 and 310.33 is: 465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.95 : 685.42 = 310.33 : x
  2. Step 2: Convert to fraction form
    456.95/685.42 = 310.33/x
  3. Step 3: Cross multiply
    456.95x = 685.42 × 310.33
  4. Step 4: Simplify right side
    456.95x = 212,706.39
  5. Step 5: Solve for x
    x = 212,706.39/456.95
  6. Step 6: Final answer
    x = 465.49

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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.