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Finding the Fourth Proportional to 454.88, 682.32 and 409.52

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Solution

The fourth proportional to 454.88, 682.32 and 409.52 is: 614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.88 : 682.32 = 409.52 : x
  2. Step 2: Convert to fraction form
    454.88/682.32 = 409.52/x
  3. Step 3: Cross multiply
    454.88x = 682.32 × 409.52
  4. Step 4: Simplify right side
    454.88x = 279,423.69
  5. Step 5: Solve for x
    x = 279,423.69/454.88
  6. Step 6: Final answer
    x = 614.28

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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.