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Finding the Fourth Proportional to 448.47, 672.35 and 174.47

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Solution

The fourth proportional to 448.47, 672.35 and 174.47 is: 261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.47 : 672.35 = 174.47 : x
  2. Step 2: Convert to fraction form
    448.47/672.35 = 174.47/x
  3. Step 3: Cross multiply
    448.47x = 672.35 × 174.47
  4. Step 4: Simplify right side
    448.47x = 117,300.67
  5. Step 5: Solve for x
    x = 117,300.67/448.47
  6. Step 6: Final answer
    x = 261.56

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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.