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Finding the Fourth Proportional to 533.53, 735.47 and 416.89

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Solution

The fourth proportional to 533.53, 735.47 and 416.89 is: 574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.53 : 735.47 = 416.89 : x
  2. Step 2: Convert to fraction form
    533.53/735.47 = 416.89/x
  3. Step 3: Cross multiply
    533.53x = 735.47 × 416.89
  4. Step 4: Simplify right side
    533.53x = 306,608.00
  5. Step 5: Solve for x
    x = 306,608.00/533.53
  6. Step 6: Final answer
    x = 574.68

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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.