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Finding the Fourth Proportional to 420.63, 579.94 and 254.77

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Solution

The fourth proportional to 420.63, 579.94 and 254.77 is: 351.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.63 : 579.94 = 254.77 : x
  2. Step 2: Convert to fraction form
    420.63/579.94 = 254.77/x
  3. Step 3: Cross multiply
    420.63x = 579.94 × 254.77
  4. Step 4: Simplify right side
    420.63x = 147,751.31
  5. Step 5: Solve for x
    x = 147,751.31/420.63
  6. Step 6: Final answer
    x = 351.26

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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.