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Finding the Fourth Proportional to 896.61, 1,344.10 and 319.35

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Solution

The fourth proportional to 896.61, 1,344.10 and 319.35 is: 478.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.61 : 1,344.10 = 319.35 : x
  2. Step 2: Convert to fraction form
    896.61/1,344.10 = 319.35/x
  3. Step 3: Cross multiply
    896.61x = 1,344.10 × 319.35
  4. Step 4: Simplify right side
    896.61x = 429,236.51
  5. Step 5: Solve for x
    x = 429,236.51/896.61
  6. Step 6: Final answer
    x = 478.73

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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.