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Finding the Fourth Proportional to 565.27, 846.84 and 333.46

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Solution

The fourth proportional to 565.27, 846.84 and 333.46 is: 499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.27 : 846.84 = 333.46 : x
  2. Step 2: Convert to fraction form
    565.27/846.84 = 333.46/x
  3. Step 3: Cross multiply
    565.27x = 846.84 × 333.46
  4. Step 4: Simplify right side
    565.27x = 282,389.38
  5. Step 5: Solve for x
    x = 282,389.38/565.27
  6. Step 6: Final answer
    x = 499.57

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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.