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Finding the Fourth Proportional to 472.53, 707.71 and 450.21

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Solution

The fourth proportional to 472.53, 707.71 and 450.21 is: 674.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.53 : 707.71 = 450.21 : x
  2. Step 2: Convert to fraction form
    472.53/707.71 = 450.21/x
  3. Step 3: Cross multiply
    472.53x = 707.71 × 450.21
  4. Step 4: Simplify right side
    472.53x = 318,618.12
  5. Step 5: Solve for x
    x = 318,618.12/472.53
  6. Step 6: Final answer
    x = 674.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.