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Finding the Fourth Proportional to 563.87, 777.48 and 406.46

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Solution

The fourth proportional to 563.87, 777.48 and 406.46 is: 560.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.87 : 777.48 = 406.46 : x
  2. Step 2: Convert to fraction form
    563.87/777.48 = 406.46/x
  3. Step 3: Cross multiply
    563.87x = 777.48 × 406.46
  4. Step 4: Simplify right side
    563.87x = 316,014.52
  5. Step 5: Solve for x
    x = 316,014.52/563.87
  6. Step 6: Final answer
    x = 560.44

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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.