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Finding the Fourth Proportional to 533.22, 802.97 and 465.56

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Solution

The fourth proportional to 533.22, 802.97 and 465.56 is: 701.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.22 : 802.97 = 465.56 : x
  2. Step 2: Convert to fraction form
    533.22/802.97 = 465.56/x
  3. Step 3: Cross multiply
    533.22x = 802.97 × 465.56
  4. Step 4: Simplify right side
    533.22x = 373,833.88
  5. Step 5: Solve for x
    x = 373,833.88/533.22
  6. Step 6: Final answer
    x = 701.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.