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Finding the Fourth Proportional to 428.86, 639.65 and 364.33

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Solution

The fourth proportional to 428.86, 639.65 and 364.33 is: 543.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.86 : 639.65 = 364.33 : x
  2. Step 2: Convert to fraction form
    428.86/639.65 = 364.33/x
  3. Step 3: Cross multiply
    428.86x = 639.65 × 364.33
  4. Step 4: Simplify right side
    428.86x = 233,043.68
  5. Step 5: Solve for x
    x = 233,043.68/428.86
  6. Step 6: Final answer
    x = 543.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.