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Finding the Fourth Proportional to 565.68, 847.13 and 322.37

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Solution

The fourth proportional to 565.68, 847.13 and 322.37 is: 482.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.68 : 847.13 = 322.37 : x
  2. Step 2: Convert to fraction form
    565.68/847.13 = 322.37/x
  3. Step 3: Cross multiply
    565.68x = 847.13 × 322.37
  4. Step 4: Simplify right side
    565.68x = 273,085.06
  5. Step 5: Solve for x
    x = 273,085.06/565.68
  6. Step 6: Final answer
    x = 482.76

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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.