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Finding the Fourth Proportional to 448.32, 670.74 and 345.96

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Solution

The fourth proportional to 448.32, 670.74 and 345.96 is: 517.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.32 : 670.74 = 345.96 : x
  2. Step 2: Convert to fraction form
    448.32/670.74 = 345.96/x
  3. Step 3: Cross multiply
    448.32x = 670.74 × 345.96
  4. Step 4: Simplify right side
    448.32x = 232,049.21
  5. Step 5: Solve for x
    x = 232,049.21/448.32
  6. Step 6: Final answer
    x = 517.60

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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.