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Finding the Fourth Proportional to 309.49, 464.33 and 288.83

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Solution

The fourth proportional to 309.49, 464.33 and 288.83 is: 433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.49 : 464.33 = 288.83 : x
  2. Step 2: Convert to fraction form
    309.49/464.33 = 288.83/x
  3. Step 3: Cross multiply
    309.49x = 464.33 × 288.83
  4. Step 4: Simplify right side
    309.49x = 134,114.32
  5. Step 5: Solve for x
    x = 134,114.32/309.49
  6. Step 6: Final answer
    x = 433.34

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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.