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Finding the Fourth Proportional to 533.41, 736.17 and 384.00

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Solution

The fourth proportional to 533.41, 736.17 and 384.00 is: 529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.41 : 736.17 = 384.00 : x
  2. Step 2: Convert to fraction form
    533.41/736.17 = 384.00/x
  3. Step 3: Cross multiply
    533.41x = 736.17 × 384.00
  4. Step 4: Simplify right side
    533.41x = 282,685.08
  5. Step 5: Solve for x
    x = 282,685.08/533.41
  6. Step 6: Final answer
    x = 529.96

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Why These Related Problems?

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