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Finding the Fourth Proportional to 428.63, 590.51 and 297.41

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Solution

The fourth proportional to 428.63, 590.51 and 297.41 is: 409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.63 : 590.51 = 297.41 : x
  2. Step 2: Convert to fraction form
    428.63/590.51 = 297.41/x
  3. Step 3: Cross multiply
    428.63x = 590.51 × 297.41
  4. Step 4: Simplify right side
    428.63x = 175,622.09
  5. Step 5: Solve for x
    x = 175,622.09/428.63
  6. Step 6: Final answer
    x = 409.73

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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.