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Finding the Fourth Proportional to 563.86, 778.21 and 470.46

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Solution

The fourth proportional to 563.86, 778.21 and 470.46 is: 649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.86 : 778.21 = 470.46 : x
  2. Step 2: Convert to fraction form
    563.86/778.21 = 470.46/x
  3. Step 3: Cross multiply
    563.86x = 778.21 × 470.46
  4. Step 4: Simplify right side
    563.86x = 366,114.04
  5. Step 5: Solve for x
    x = 366,114.04/563.86
  6. Step 6: Final answer
    x = 649.30

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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.