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Finding the Fourth Proportional to 896.36, 1,345.14 and 319.23

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Solution

The fourth proportional to 896.36, 1,345.14 and 319.23 is: 479.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.36 : 1,345.14 = 319.23 : x
  2. Step 2: Convert to fraction form
    896.36/1,345.14 = 319.23/x
  3. Step 3: Cross multiply
    896.36x = 1,345.14 × 319.23
  4. Step 4: Simplify right side
    896.36x = 429,409.04
  5. Step 5: Solve for x
    x = 429,409.04/896.36
  6. Step 6: Final answer
    x = 479.06

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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.