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Finding the Fourth Proportional to 563.92, 777.60 and 514.24

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Solution

The fourth proportional to 563.92, 777.60 and 514.24 is: 709.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.92 : 777.60 = 514.24 : x
  2. Step 2: Convert to fraction form
    563.92/777.60 = 514.24/x
  3. Step 3: Cross multiply
    563.92x = 777.60 × 514.24
  4. Step 4: Simplify right side
    563.92x = 399,873.02
  5. Step 5: Solve for x
    x = 399,873.02/563.92
  6. Step 6: Final answer
    x = 709.10

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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.