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Finding the Fourth Proportional to 563.43, 777.54 and 314.75

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Solution

The fourth proportional to 563.43, 777.54 and 314.75 is: 434.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.43 : 777.54 = 314.75 : x
  2. Step 2: Convert to fraction form
    563.43/777.54 = 314.75/x
  3. Step 3: Cross multiply
    563.43x = 777.54 × 314.75
  4. Step 4: Simplify right side
    563.43x = 244,726.83
  5. Step 5: Solve for x
    x = 244,726.83/563.43
  6. Step 6: Final answer
    x = 434.35

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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.