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Finding the Fourth Proportional to 533.57, 735.95 and 416.93

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Solution

The fourth proportional to 533.57, 735.95 and 416.93 is: 575.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.57 : 735.95 = 416.93 : x
  2. Step 2: Convert to fraction form
    533.57/735.95 = 416.93/x
  3. Step 3: Cross multiply
    533.57x = 735.95 × 416.93
  4. Step 4: Simplify right side
    533.57x = 306,837.00
  5. Step 5: Solve for x
    x = 306,837.00/533.57
  6. Step 6: Final answer
    x = 575.07

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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.