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Finding the Fourth Proportional to 533.84, 736.44 and 376.88

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Solution

The fourth proportional to 533.84, 736.44 and 376.88 is: 519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.84 : 736.44 = 376.88 : x
  2. Step 2: Convert to fraction form
    533.84/736.44 = 376.88/x
  3. Step 3: Cross multiply
    533.84x = 736.44 × 376.88
  4. Step 4: Simplify right side
    533.84x = 277,549.51
  5. Step 5: Solve for x
    x = 277,549.51/533.84
  6. Step 6: Final answer
    x = 519.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.