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Finding the Fourth Proportional to 682.33, 942.72 and 533.50

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Solution

The fourth proportional to 682.33, 942.72 and 533.50 is: 737.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.33 : 942.72 = 533.50 : x
  2. Step 2: Convert to fraction form
    682.33/942.72 = 533.50/x
  3. Step 3: Cross multiply
    682.33x = 942.72 × 533.50
  4. Step 4: Simplify right side
    682.33x = 502,941.12
  5. Step 5: Solve for x
    x = 502,941.12/682.33
  6. Step 6: Final answer
    x = 737.09

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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.