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Finding the Fourth Proportional to 445.71, 671.91 and 415.98

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Solution

The fourth proportional to 445.71, 671.91 and 415.98 is: 627.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.71 : 671.91 = 415.98 : x
  2. Step 2: Convert to fraction form
    445.71/671.91 = 415.98/x
  3. Step 3: Cross multiply
    445.71x = 671.91 × 415.98
  4. Step 4: Simplify right side
    445.71x = 279,501.12
  5. Step 5: Solve for x
    x = 279,501.12/445.71
  6. Step 6: Final answer
    x = 627.09

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