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Finding the Fourth Proportional to 533.52, 736.05 and 358.98

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Solution

The fourth proportional to 533.52, 736.05 and 358.98 is: 495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.52 : 736.05 = 358.98 : x
  2. Step 2: Convert to fraction form
    533.52/736.05 = 358.98/x
  3. Step 3: Cross multiply
    533.52x = 736.05 × 358.98
  4. Step 4: Simplify right side
    533.52x = 264,224.45
  5. Step 5: Solve for x
    x = 264,224.45/533.52
  6. Step 6: Final answer
    x = 495.25

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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.