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Finding the Fourth Proportional to 448, 670.14 and 379.72

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Solution

The fourth proportional to 448, 670.14 and 379.72 is: 568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    448 : 670.14 = 379.72 : x
  2. Step 2: Convert to fraction form
    448/670.14 = 379.72/x
  3. Step 3: Cross multiply
    448x = 670.14 × 379.72
  4. Step 4: Simplify right side
    448x = 254,465.56
  5. Step 5: Solve for x
    x = 254,465.56/448
  6. Step 6: Final answer
    x = 568.00

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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.