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Finding the Fourth Proportional to 563.56, 777.75 and 342.51

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Solution

The fourth proportional to 563.56, 777.75 and 342.51 is: 472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.56 : 777.75 = 342.51 : x
  2. Step 2: Convert to fraction form
    563.56/777.75 = 342.51/x
  3. Step 3: Cross multiply
    563.56x = 777.75 × 342.51
  4. Step 4: Simplify right side
    563.56x = 266,387.15
  5. Step 5: Solve for x
    x = 266,387.15/563.56
  6. Step 6: Final answer
    x = 472.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.