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Finding the Fourth Proportional to 563.65, 777.80 and 314.96

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Solution

The fourth proportional to 563.65, 777.80 and 314.96 is: 434.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.65 : 777.80 = 314.96 : x
  2. Step 2: Convert to fraction form
    563.65/777.80 = 314.96/x
  3. Step 3: Cross multiply
    563.65x = 777.80 × 314.96
  4. Step 4: Simplify right side
    563.65x = 244,972.79
  5. Step 5: Solve for x
    x = 244,972.79/563.65
  6. Step 6: Final answer
    x = 434.62

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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.