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Finding the Fourth Proportional to 448.88, 673.58 and 175.16

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Solution

The fourth proportional to 448.88, 673.58 and 175.16 is: 262.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.88 : 673.58 = 175.16 : x
  2. Step 2: Convert to fraction form
    448.88/673.58 = 175.16/x
  3. Step 3: Cross multiply
    448.88x = 673.58 × 175.16
  4. Step 4: Simplify right side
    448.88x = 117,984.27
  5. Step 5: Solve for x
    x = 117,984.27/448.88
  6. Step 6: Final answer
    x = 262.84

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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.