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Finding the Fourth Proportional to 448.50, 671.59 and 266.02

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Solution

The fourth proportional to 448.50, 671.59 and 266.02 is: 398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.50 : 671.59 = 266.02 : x
  2. Step 2: Convert to fraction form
    448.50/671.59 = 266.02/x
  3. Step 3: Cross multiply
    448.50x = 671.59 × 266.02
  4. Step 4: Simplify right side
    448.50x = 178,656.37
  5. Step 5: Solve for x
    x = 178,656.37/448.50
  6. Step 6: Final answer
    x = 398.34

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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.