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Finding the Fourth Proportional to 426.49, 643.66 and 415.55

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Solution

The fourth proportional to 426.49, 643.66 and 415.55 is: 627.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.49 : 643.66 = 415.55 : x
  2. Step 2: Convert to fraction form
    426.49/643.66 = 415.55/x
  3. Step 3: Cross multiply
    426.49x = 643.66 × 415.55
  4. Step 4: Simplify right side
    426.49x = 267,473.48
  5. Step 5: Solve for x
    x = 267,473.48/426.49
  6. Step 6: Final answer
    x = 627.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.