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Finding the Fourth Proportional to 856.68, 1,285.18 and 363.40

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Solution

The fourth proportional to 856.68, 1,285.18 and 363.40 is: 545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.68 : 1,285.18 = 363.40 : x
  2. Step 2: Convert to fraction form
    856.68/1,285.18 = 363.40/x
  3. Step 3: Cross multiply
    856.68x = 1,285.18 × 363.40
  4. Step 4: Simplify right side
    856.68x = 467,034.41
  5. Step 5: Solve for x
    x = 467,034.41/856.68
  6. Step 6: Final answer
    x = 545.17

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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.