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Finding the Fourth Proportional to 454.56, 627.03 and 307.23

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Solution

The fourth proportional to 454.56, 627.03 and 307.23 is: 423.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.56 : 627.03 = 307.23 : x
  2. Step 2: Convert to fraction form
    454.56/627.03 = 307.23/x
  3. Step 3: Cross multiply
    454.56x = 627.03 × 307.23
  4. Step 4: Simplify right side
    454.56x = 192,642.43
  5. Step 5: Solve for x
    x = 192,642.43/454.56
  6. Step 6: Final answer
    x = 423.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.