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Finding the Fourth Proportional to 464.51, 641.03 and 254.70

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Solution

The fourth proportional to 464.51, 641.03 and 254.70 is: 351.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.51 : 641.03 = 254.70 : x
  2. Step 2: Convert to fraction form
    464.51/641.03 = 254.70/x
  3. Step 3: Cross multiply
    464.51x = 641.03 × 254.70
  4. Step 4: Simplify right side
    464.51x = 163,270.98
  5. Step 5: Solve for x
    x = 163,270.98/464.51
  6. Step 6: Final answer
    x = 351.49

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