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Finding the Fourth Proportional to 533.78, 736.76 and 436.58

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Solution

The fourth proportional to 533.78, 736.76 and 436.58 is: 602.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.78 : 736.76 = 436.58 : x
  2. Step 2: Convert to fraction form
    533.78/736.76 = 436.58/x
  3. Step 3: Cross multiply
    533.78x = 736.76 × 436.58
  4. Step 4: Simplify right side
    533.78x = 321,654.68
  5. Step 5: Solve for x
    x = 321,654.68/533.78
  6. Step 6: Final answer
    x = 602.60

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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.