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Finding the Fourth Proportional to 446.82, 667.98 and 400.46

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Solution

The fourth proportional to 446.82, 667.98 and 400.46 is: 598.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.82 : 667.98 = 400.46 : x
  2. Step 2: Convert to fraction form
    446.82/667.98 = 400.46/x
  3. Step 3: Cross multiply
    446.82x = 667.98 × 400.46
  4. Step 4: Simplify right side
    446.82x = 267,495.93
  5. Step 5: Solve for x
    x = 267,495.93/446.82
  6. Step 6: Final answer
    x = 598.67

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Why These Related Problems?

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