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Finding the Fourth Proportional to 563.89, 778.05 and 431.08

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Solution

The fourth proportional to 563.89, 778.05 and 431.08 is: 594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.89 : 778.05 = 431.08 : x
  2. Step 2: Convert to fraction form
    563.89/778.05 = 431.08/x
  3. Step 3: Cross multiply
    563.89x = 778.05 × 431.08
  4. Step 4: Simplify right side
    563.89x = 335,401.79
  5. Step 5: Solve for x
    x = 335,401.79/563.89
  6. Step 6: Final answer
    x = 594.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.