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Finding the Fourth Proportional to 563.23, 777.27 and 314.54

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Solution

The fourth proportional to 563.23, 777.27 and 314.54 is: 434.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.23 : 777.27 = 314.54 : x
  2. Step 2: Convert to fraction form
    563.23/777.27 = 314.54/x
  3. Step 3: Cross multiply
    563.23x = 777.27 × 314.54
  4. Step 4: Simplify right side
    563.23x = 244,482.51
  5. Step 5: Solve for x
    x = 244,482.51/563.23
  6. Step 6: Final answer
    x = 434.07

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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.