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Finding the Fourth Proportional to 563.76, 778.05 and 406.35

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Solution

The fourth proportional to 563.76, 778.05 and 406.35 is: 560.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.76 : 778.05 = 406.35 : x
  2. Step 2: Convert to fraction form
    563.76/778.05 = 406.35/x
  3. Step 3: Cross multiply
    563.76x = 778.05 × 406.35
  4. Step 4: Simplify right side
    563.76x = 316,160.62
  5. Step 5: Solve for x
    x = 316,160.62/563.76
  6. Step 6: Final answer
    x = 560.81

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