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Finding the Fourth Proportional to 448.40, 668.22 and 435.85

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Solution

The fourth proportional to 448.40, 668.22 and 435.85 is: 649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.40 : 668.22 = 435.85 : x
  2. Step 2: Convert to fraction form
    448.40/668.22 = 435.85/x
  3. Step 3: Cross multiply
    448.40x = 668.22 × 435.85
  4. Step 4: Simplify right side
    448.40x = 291,240.38
  5. Step 5: Solve for x
    x = 291,240.38/448.40
  6. Step 6: Final answer
    x = 649.51

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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.