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Finding the Fourth Proportional to 533.52, 735.88 and 337.08

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Solution

The fourth proportional to 533.52, 735.88 and 337.08 is: 464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.52 : 735.88 = 337.08 : x
  2. Step 2: Convert to fraction form
    533.52/735.88 = 337.08/x
  3. Step 3: Cross multiply
    533.52x = 735.88 × 337.08
  4. Step 4: Simplify right side
    533.52x = 248,050.43
  5. Step 5: Solve for x
    x = 248,050.43/533.52
  6. Step 6: Final answer
    x = 464.93

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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.