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Finding the Fourth Proportional to 968.24, 1,452.38 and 351.56

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Solution

The fourth proportional to 968.24, 1,452.38 and 351.56 is: 527.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.24 : 1,452.38 = 351.56 : x
  2. Step 2: Convert to fraction form
    968.24/1,452.38 = 351.56/x
  3. Step 3: Cross multiply
    968.24x = 1,452.38 × 351.56
  4. Step 4: Simplify right side
    968.24x = 510,598.71
  5. Step 5: Solve for x
    x = 510,598.71/968.24
  6. Step 6: Final answer
    x = 527.35

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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.