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Finding the Fourth Proportional to 533.76, 737.60 and 465.92

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Solution

The fourth proportional to 533.76, 737.60 and 465.92 is: 643.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.76 : 737.60 = 465.92 : x
  2. Step 2: Convert to fraction form
    533.76/737.60 = 465.92/x
  3. Step 3: Cross multiply
    533.76x = 737.60 × 465.92
  4. Step 4: Simplify right side
    533.76x = 343,662.59
  5. Step 5: Solve for x
    x = 343,662.59/533.76
  6. Step 6: Final answer
    x = 643.85

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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.