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Finding the Fourth Proportional to 448.57, 672.84 and 192.07

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Solution

The fourth proportional to 448.57, 672.84 and 192.07 is: 288.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.57 : 672.84 = 192.07 : x
  2. Step 2: Convert to fraction form
    448.57/672.84 = 192.07/x
  3. Step 3: Cross multiply
    448.57x = 672.84 × 192.07
  4. Step 4: Simplify right side
    448.57x = 129,232.38
  5. Step 5: Solve for x
    x = 129,232.38/448.57
  6. Step 6: Final answer
    x = 288.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.