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Finding the Fourth Proportional to 288.96, 434.07 and 284.37

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Solution

The fourth proportional to 288.96, 434.07 and 284.37 is: 427.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.96 : 434.07 = 284.37 : x
  2. Step 2: Convert to fraction form
    288.96/434.07 = 284.37/x
  3. Step 3: Cross multiply
    288.96x = 434.07 × 284.37
  4. Step 4: Simplify right side
    288.96x = 123,436.49
  5. Step 5: Solve for x
    x = 123,436.49/288.96
  6. Step 6: Final answer
    x = 427.17

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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.