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Finding the Fourth Proportional to 563.91, 778.55 and 406.44

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Solution

The fourth proportional to 563.91, 778.55 and 406.44 is: 561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.91 : 778.55 = 406.44 : x
  2. Step 2: Convert to fraction form
    563.91/778.55 = 406.44/x
  3. Step 3: Cross multiply
    563.91x = 778.55 × 406.44
  4. Step 4: Simplify right side
    563.91x = 316,430.81
  5. Step 5: Solve for x
    x = 316,430.81/563.91
  6. Step 6: Final answer
    x = 561.14

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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.