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Finding the Fourth Proportional to 428.99, 643.26 and 233.93

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Solution

The fourth proportional to 428.99, 643.26 and 233.93 is: 350.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.99 : 643.26 = 233.93 : x
  2. Step 2: Convert to fraction form
    428.99/643.26 = 233.93/x
  3. Step 3: Cross multiply
    428.99x = 643.26 × 233.93
  4. Step 4: Simplify right side
    428.99x = 150,477.81
  5. Step 5: Solve for x
    x = 150,477.81/428.99
  6. Step 6: Final answer
    x = 350.77

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Why These Related Problems?

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