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Finding the Fourth Proportional to 968.10, 1,452.23 and 420.30

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Solution

The fourth proportional to 968.10, 1,452.23 and 420.30 is: 630.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.10 : 1,452.23 = 420.30 : x
  2. Step 2: Convert to fraction form
    968.10/1,452.23 = 420.30/x
  3. Step 3: Cross multiply
    968.10x = 1,452.23 × 420.30
  4. Step 4: Simplify right side
    968.10x = 610,371.74
  5. Step 5: Solve for x
    x = 610,371.74/968.10
  6. Step 6: Final answer
    x = 630.49

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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.