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Finding the Fourth Proportional to 448.32, 671.76 and 265.88

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Solution

The fourth proportional to 448.32, 671.76 and 265.88 is: 398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.32 : 671.76 = 265.88 : x
  2. Step 2: Convert to fraction form
    448.32/671.76 = 265.88/x
  3. Step 3: Cross multiply
    448.32x = 671.76 × 265.88
  4. Step 4: Simplify right side
    448.32x = 178,607.55
  5. Step 5: Solve for x
    x = 178,607.55/448.32
  6. Step 6: Final answer
    x = 398.39

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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.