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Finding the Fourth Proportional to 428.58, 646.43 and 377.85

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Solution

The fourth proportional to 428.58, 646.43 and 377.85 is: 569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.58 : 646.43 = 377.85 : x
  2. Step 2: Convert to fraction form
    428.58/646.43 = 377.85/x
  3. Step 3: Cross multiply
    428.58x = 646.43 × 377.85
  4. Step 4: Simplify right side
    428.58x = 244,251.69
  5. Step 5: Solve for x
    x = 244,251.69/428.58
  6. Step 6: Final answer
    x = 569.92

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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.