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Finding the Fourth Proportional to 563.15, 776.69 and 342.02

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Solution

The fourth proportional to 563.15, 776.69 and 342.02 is: 471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.15 : 776.69 = 342.02 : x
  2. Step 2: Convert to fraction form
    563.15/776.69 = 342.02/x
  3. Step 3: Cross multiply
    563.15x = 776.69 × 342.02
  4. Step 4: Simplify right side
    563.15x = 265,645.03
  5. Step 5: Solve for x
    x = 265,645.03/563.15
  6. Step 6: Final answer
    x = 471.71

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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.