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Finding the Fourth Proportional to 563.94, 778.50 and 354.06

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Solution

The fourth proportional to 563.94, 778.50 and 354.06 is: 488.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.94 : 778.50 = 354.06 : x
  2. Step 2: Convert to fraction form
    563.94/778.50 = 354.06/x
  3. Step 3: Cross multiply
    563.94x = 778.50 × 354.06
  4. Step 4: Simplify right side
    563.94x = 275,635.71
  5. Step 5: Solve for x
    x = 275,635.71/563.94
  6. Step 6: Final answer
    x = 488.77

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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.