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Finding the Fourth Proportional to 448.34, 673.86 and 435.66

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Solution

The fourth proportional to 448.34, 673.86 and 435.66 is: 654.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.34 : 673.86 = 435.66 : x
  2. Step 2: Convert to fraction form
    448.34/673.86 = 435.66/x
  3. Step 3: Cross multiply
    448.34x = 673.86 × 435.66
  4. Step 4: Simplify right side
    448.34x = 293,573.85
  5. Step 5: Solve for x
    x = 293,573.85/448.34
  6. Step 6: Final answer
    x = 654.80

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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.