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Finding the Fourth Proportional to 533.71, 735.91 and 435.16

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Solution

The fourth proportional to 533.71, 735.91 and 435.16 is: 600.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.71 : 735.91 = 435.16 : x
  2. Step 2: Convert to fraction form
    533.71/735.91 = 435.16/x
  3. Step 3: Cross multiply
    533.71x = 735.91 × 435.16
  4. Step 4: Simplify right side
    533.71x = 320,238.60
  5. Step 5: Solve for x
    x = 320,238.60/533.71
  6. Step 6: Final answer
    x = 600.02

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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.