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Finding the Fourth Proportional to 454.64, 682.01 and 130.01

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Solution

The fourth proportional to 454.64, 682.01 and 130.01 is: 195.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.64 : 682.01 = 130.01 : x
  2. Step 2: Convert to fraction form
    454.64/682.01 = 130.01/x
  3. Step 3: Cross multiply
    454.64x = 682.01 × 130.01
  4. Step 4: Simplify right side
    454.64x = 88,664.06
  5. Step 5: Solve for x
    x = 88,664.06/454.64
  6. Step 6: Final answer
    x = 195.02

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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.