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Finding the Fourth Proportional to 533.58, 736.12 and 385.89

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Solution

The fourth proportional to 533.58, 736.12 and 385.89 is: 532.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.58 : 736.12 = 385.89 : x
  2. Step 2: Convert to fraction form
    533.58/736.12 = 385.89/x
  3. Step 3: Cross multiply
    533.58x = 736.12 × 385.89
  4. Step 4: Simplify right side
    533.58x = 284,055.74
  5. Step 5: Solve for x
    x = 284,055.74/533.58
  6. Step 6: Final answer
    x = 532.36

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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.