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Finding the Fourth Proportional to 563.07, 776.81 and 341.94

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Solution

The fourth proportional to 563.07, 776.81 and 341.94 is: 471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.07 : 776.81 = 341.94 : x
  2. Step 2: Convert to fraction form
    563.07/776.81 = 341.94/x
  3. Step 3: Cross multiply
    563.07x = 776.81 × 341.94
  4. Step 4: Simplify right side
    563.07x = 265,620.70
  5. Step 5: Solve for x
    x = 265,620.70/563.07
  6. Step 6: Final answer
    x = 471.74

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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.