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Finding the Fourth Proportional to 533.30, 796.08 and 468.50

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Solution

The fourth proportional to 533.30, 796.08 and 468.50 is: 699.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.30 : 796.08 = 468.50 : x
  2. Step 2: Convert to fraction form
    533.30/796.08 = 468.50/x
  3. Step 3: Cross multiply
    533.30x = 796.08 × 468.50
  4. Step 4: Simplify right side
    533.30x = 372,963.48
  5. Step 5: Solve for x
    x = 372,963.48/533.30
  6. Step 6: Final answer
    x = 699.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.