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Finding the Fourth Proportional to 563.83, 846.04 and 255.65

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Solution

The fourth proportional to 563.83, 846.04 and 255.65 is: 383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.83 : 846.04 = 255.65 : x
  2. Step 2: Convert to fraction form
    563.83/846.04 = 255.65/x
  3. Step 3: Cross multiply
    563.83x = 846.04 × 255.65
  4. Step 4: Simplify right side
    563.83x = 216,290.13
  5. Step 5: Solve for x
    x = 216,290.13/563.83
  6. Step 6: Final answer
    x = 383.61

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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.