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Finding the Fourth Proportional to 448.37, 671.40 and 265.89

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Solution

The fourth proportional to 448.37, 671.40 and 265.89 is: 398.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.37 : 671.40 = 265.89 : x
  2. Step 2: Convert to fraction form
    448.37/671.40 = 265.89/x
  3. Step 3: Cross multiply
    448.37x = 671.40 × 265.89
  4. Step 4: Simplify right side
    448.37x = 178,518.55
  5. Step 5: Solve for x
    x = 178,518.55/448.37
  6. Step 6: Final answer
    x = 398.15

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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.