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Finding the Fourth Proportional to 466.71, 697.33 and 450.57

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Solution

The fourth proportional to 466.71, 697.33 and 450.57 is: 673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.71 : 697.33 = 450.57 : x
  2. Step 2: Convert to fraction form
    466.71/697.33 = 450.57/x
  3. Step 3: Cross multiply
    466.71x = 697.33 × 450.57
  4. Step 4: Simplify right side
    466.71x = 314,195.98
  5. Step 5: Solve for x
    x = 314,195.98/466.71
  6. Step 6: Final answer
    x = 673.21

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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.