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Finding the Fourth Proportional to 682.10, 942.04 and 534.48

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Solution

The fourth proportional to 682.10, 942.04 and 534.48 is: 738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.10 : 942.04 = 534.48 : x
  2. Step 2: Convert to fraction form
    682.10/942.04 = 534.48/x
  3. Step 3: Cross multiply
    682.10x = 942.04 × 534.48
  4. Step 4: Simplify right side
    682.10x = 503,501.54
  5. Step 5: Solve for x
    x = 503,501.54/682.10
  6. Step 6: Final answer
    x = 738.16

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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.