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Finding the Fourth Proportional to 856.29, 1,283.73 and 336

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Solution

The fourth proportional to 856.29, 1,283.73 and 336 is: 503.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.29 : 1,283.73 = 336 : x
  2. Step 2: Convert to fraction form
    856.29/1,283.73 = 336/x
  3. Step 3: Cross multiply
    856.29x = 1,283.73 × 336
  4. Step 4: Simplify right side
    856.29x = 431,333.28
  5. Step 5: Solve for x
    x = 431,333.28/856.29
  6. Step 6: Final answer
    x = 503.72

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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.