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Finding the Fourth Proportional to 454.08, 627.12 and 314.40

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Solution

The fourth proportional to 454.08, 627.12 and 314.40 is: 434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.08 : 627.12 = 314.40 : x
  2. Step 2: Convert to fraction form
    454.08/627.12 = 314.40/x
  3. Step 3: Cross multiply
    454.08x = 627.12 × 314.40
  4. Step 4: Simplify right side
    454.08x = 197,166.53
  5. Step 5: Solve for x
    x = 197,166.53/454.08
  6. Step 6: Final answer
    x = 434.21

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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.