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Finding the Fourth Proportional to 563.08, 773.69 and 459.40

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Solution

The fourth proportional to 563.08, 773.69 and 459.40 is: 631.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.08 : 773.69 = 459.40 : x
  2. Step 2: Convert to fraction form
    563.08/773.69 = 459.40/x
  3. Step 3: Cross multiply
    563.08x = 773.69 × 459.40
  4. Step 4: Simplify right side
    563.08x = 355,433.19
  5. Step 5: Solve for x
    x = 355,433.19/563.08
  6. Step 6: Final answer
    x = 631.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.