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Finding the Fourth Proportional to 968.54, 1,452.39 and 310.25

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Solution

The fourth proportional to 968.54, 1,452.39 and 310.25 is: 465.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.54 : 1,452.39 = 310.25 : x
  2. Step 2: Convert to fraction form
    968.54/1,452.39 = 310.25/x
  3. Step 3: Cross multiply
    968.54x = 1,452.39 × 310.25
  4. Step 4: Simplify right side
    968.54x = 450,596.74
  5. Step 5: Solve for x
    x = 450,596.74/968.54
  6. Step 6: Final answer
    x = 465.24

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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.