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Finding the Fourth Proportional to 856.64, 1,285.36 and 309.28

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Solution

The fourth proportional to 856.64, 1,285.36 and 309.28 is: 464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.64 : 1,285.36 = 309.28 : x
  2. Step 2: Convert to fraction form
    856.64/1,285.36 = 309.28/x
  3. Step 3: Cross multiply
    856.64x = 1,285.36 × 309.28
  4. Step 4: Simplify right side
    856.64x = 397,536.14
  5. Step 5: Solve for x
    x = 397,536.14/856.64
  6. Step 6: Final answer
    x = 464.06

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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.