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Finding the Fourth Proportional to 563.23, 777.19 and 314.52

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Solution

The fourth proportional to 563.23, 777.19 and 314.52 is: 434.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.23 : 777.19 = 314.52 : x
  2. Step 2: Convert to fraction form
    563.23/777.19 = 314.52/x
  3. Step 3: Cross multiply
    563.23x = 777.19 × 314.52
  4. Step 4: Simplify right side
    563.23x = 244,441.80
  5. Step 5: Solve for x
    x = 244,441.80/563.23
  6. Step 6: Final answer
    x = 434.00

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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.