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Finding the Fourth Proportional to 563.52, 776.96 and 514.16

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Solution

The fourth proportional to 563.52, 776.96 and 514.16 is: 708.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.52 : 776.96 = 514.16 : x
  2. Step 2: Convert to fraction form
    563.52/776.96 = 514.16/x
  3. Step 3: Cross multiply
    563.52x = 776.96 × 514.16
  4. Step 4: Simplify right side
    563.52x = 399,481.75
  5. Step 5: Solve for x
    x = 399,481.75/563.52
  6. Step 6: Final answer
    x = 708.90

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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.