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Finding the Fourth Proportional to 430.98, 645.63 and 257.28

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Solution

The fourth proportional to 430.98, 645.63 and 257.28 is: 385.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.98 : 645.63 = 257.28 : x
  2. Step 2: Convert to fraction form
    430.98/645.63 = 257.28/x
  3. Step 3: Cross multiply
    430.98x = 645.63 × 257.28
  4. Step 4: Simplify right side
    430.98x = 166,107.69
  5. Step 5: Solve for x
    x = 166,107.69/430.98
  6. Step 6: Final answer
    x = 385.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.