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Finding the Fourth Proportional to 603.85, 905.36 and 257.10

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Solution

The fourth proportional to 603.85, 905.36 and 257.10 is: 385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.85 : 905.36 = 257.10 : x
  2. Step 2: Convert to fraction form
    603.85/905.36 = 257.10/x
  3. Step 3: Cross multiply
    603.85x = 905.36 × 257.10
  4. Step 4: Simplify right side
    603.85x = 232,768.06
  5. Step 5: Solve for x
    x = 232,768.06/603.85
  6. Step 6: Final answer
    x = 385.47

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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.