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Finding the Fourth Proportional to 533.52, 735.48 and 416.88

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Solution

The fourth proportional to 533.52, 735.48 and 416.88 is: 574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.52 : 735.48 = 416.88 : x
  2. Step 2: Convert to fraction form
    533.52/735.48 = 416.88/x
  3. Step 3: Cross multiply
    533.52x = 735.48 × 416.88
  4. Step 4: Simplify right side
    533.52x = 306,606.90
  5. Step 5: Solve for x
    x = 306,606.90/533.52
  6. Step 6: Final answer
    x = 574.69

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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.