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Finding the Fourth Proportional to 682.84, 941.58 and 486.28

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Solution

The fourth proportional to 682.84, 941.58 and 486.28 is: 670.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.84 : 941.58 = 486.28 : x
  2. Step 2: Convert to fraction form
    682.84/941.58 = 486.28/x
  3. Step 3: Cross multiply
    682.84x = 941.58 × 486.28
  4. Step 4: Simplify right side
    682.84x = 457,871.52
  5. Step 5: Solve for x
    x = 457,871.52/682.84
  6. Step 6: Final answer
    x = 670.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.