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Finding the Fourth Proportional to 968.33, 1,452.66 and 352.89

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Solution

The fourth proportional to 968.33, 1,452.66 and 352.89 is: 529.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.33 : 1,452.66 = 352.89 : x
  2. Step 2: Convert to fraction form
    968.33/1,452.66 = 352.89/x
  3. Step 3: Cross multiply
    968.33x = 1,452.66 × 352.89
  4. Step 4: Simplify right side
    968.33x = 512,629.19
  5. Step 5: Solve for x
    x = 512,629.19/968.33
  6. Step 6: Final answer
    x = 529.40

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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.