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Finding the Fourth Proportional to 896.40, 1,345.28 and 341.60

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Solution

The fourth proportional to 896.40, 1,345.28 and 341.60 is: 512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.40 : 1,345.28 = 341.60 : x
  2. Step 2: Convert to fraction form
    896.40/1,345.28 = 341.60/x
  3. Step 3: Cross multiply
    896.40x = 1,345.28 × 341.60
  4. Step 4: Simplify right side
    896.40x = 459,539.21
  5. Step 5: Solve for x
    x = 459,539.21/896.40
  6. Step 6: Final answer
    x = 512.65

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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.