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Finding the Fourth Proportional to 563.83, 778.83 and 434.45

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Solution

The fourth proportional to 563.83, 778.83 and 434.45 is: 600.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.83 : 778.83 = 434.45 : x
  2. Step 2: Convert to fraction form
    563.83/778.83 = 434.45/x
  3. Step 3: Cross multiply
    563.83x = 778.83 × 434.45
  4. Step 4: Simplify right side
    563.83x = 338,362.69
  5. Step 5: Solve for x
    x = 338,362.69/563.83
  6. Step 6: Final answer
    x = 600.11

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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.