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Finding the Fourth Proportional to 433.32, 649.24 and 270.64

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Solution

The fourth proportional to 433.32, 649.24 and 270.64 is: 405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.32 : 649.24 = 270.64 : x
  2. Step 2: Convert to fraction form
    433.32/649.24 = 270.64/x
  3. Step 3: Cross multiply
    433.32x = 649.24 × 270.64
  4. Step 4: Simplify right side
    433.32x = 175,710.31
  5. Step 5: Solve for x
    x = 175,710.31/433.32
  6. Step 6: Final answer
    x = 405.50

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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.