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Finding the Fourth Proportional to 448.12, 671.57 and 174.07

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Solution

The fourth proportional to 448.12, 671.57 and 174.07 is: 260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.12 : 671.57 = 174.07 : x
  2. Step 2: Convert to fraction form
    448.12/671.57 = 174.07/x
  3. Step 3: Cross multiply
    448.12x = 671.57 × 174.07
  4. Step 4: Simplify right side
    448.12x = 116,900.19
  5. Step 5: Solve for x
    x = 116,900.19/448.12
  6. Step 6: Final answer
    x = 260.87

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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.