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Finding the Fourth Proportional to 561.82, 839.12 and 446.40

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Solution

The fourth proportional to 561.82, 839.12 and 446.40 is: 666.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.82 : 839.12 = 446.40 : x
  2. Step 2: Convert to fraction form
    561.82/839.12 = 446.40/x
  3. Step 3: Cross multiply
    561.82x = 839.12 × 446.40
  4. Step 4: Simplify right side
    561.82x = 374,583.17
  5. Step 5: Solve for x
    x = 374,583.17/561.82
  6. Step 6: Final answer
    x = 666.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.