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Finding the Fourth Proportional to 682.40, 941.20 and 507.68

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Solution

The fourth proportional to 682.40, 941.20 and 507.68 is: 700.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.40 : 941.20 = 507.68 : x
  2. Step 2: Convert to fraction form
    682.40/941.20 = 507.68/x
  3. Step 3: Cross multiply
    682.40x = 941.20 × 507.68
  4. Step 4: Simplify right side
    682.40x = 477,828.42
  5. Step 5: Solve for x
    x = 477,828.42/682.40
  6. Step 6: Final answer
    x = 700.22

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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.