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Finding the Fourth Proportional to 533.51, 796.13 and 529.46

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Solution

The fourth proportional to 533.51, 796.13 and 529.46 is: 790.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.51 : 796.13 = 529.46 : x
  2. Step 2: Convert to fraction form
    533.51/796.13 = 529.46/x
  3. Step 3: Cross multiply
    533.51x = 796.13 × 529.46
  4. Step 4: Simplify right side
    533.51x = 421,512.36
  5. Step 5: Solve for x
    x = 421,512.36/533.51
  6. Step 6: Final answer
    x = 790.08

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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.