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Finding the Fourth Proportional to 448.53, 672.98 and 174.81

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Solution

The fourth proportional to 448.53, 672.98 and 174.81 is: 262.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.53 : 672.98 = 174.81 : x
  2. Step 2: Convert to fraction form
    448.53/672.98 = 174.81/x
  3. Step 3: Cross multiply
    448.53x = 672.98 × 174.81
  4. Step 4: Simplify right side
    448.53x = 117,643.63
  5. Step 5: Solve for x
    x = 117,643.63/448.53
  6. Step 6: Final answer
    x = 262.29

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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.