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Finding the Fourth Proportional to 454.74, 627.33 and 307.43

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Solution

The fourth proportional to 454.74, 627.33 and 307.43 is: 424.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.74 : 627.33 = 307.43 : x
  2. Step 2: Convert to fraction form
    454.74/627.33 = 307.43/x
  3. Step 3: Cross multiply
    454.74x = 627.33 × 307.43
  4. Step 4: Simplify right side
    454.74x = 192,858.49
  5. Step 5: Solve for x
    x = 192,858.49/454.74
  6. Step 6: Final answer
    x = 424.10

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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.