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Finding the Fourth Proportional to 682.85, 942.65 and 459.16

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Solution

The fourth proportional to 682.85, 942.65 and 459.16 is: 633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.85 : 942.65 = 459.16 : x
  2. Step 2: Convert to fraction form
    682.85/942.65 = 459.16/x
  3. Step 3: Cross multiply
    682.85x = 942.65 × 459.16
  4. Step 4: Simplify right side
    682.85x = 432,827.17
  5. Step 5: Solve for x
    x = 432,827.17/682.85
  6. Step 6: Final answer
    x = 633.85

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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.