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Finding the Fourth Proportional to 563.57, 777.68 and 314.86

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Solution

The fourth proportional to 563.57, 777.68 and 314.86 is: 434.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.57 : 777.68 = 314.86 : x
  2. Step 2: Convert to fraction form
    563.57/777.68 = 314.86/x
  3. Step 3: Cross multiply
    563.57x = 777.68 × 314.86
  4. Step 4: Simplify right side
    563.57x = 244,855.94
  5. Step 5: Solve for x
    x = 244,855.94/563.57
  6. Step 6: Final answer
    x = 434.47

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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.