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Finding the Fourth Proportional to 563.59, 777.26 and 416.59

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Solution

The fourth proportional to 563.59, 777.26 and 416.59 is: 574.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.59 : 777.26 = 416.59 : x
  2. Step 2: Convert to fraction form
    563.59/777.26 = 416.59/x
  3. Step 3: Cross multiply
    563.59x = 777.26 × 416.59
  4. Step 4: Simplify right side
    563.59x = 323,796.66
  5. Step 5: Solve for x
    x = 323,796.66/563.59
  6. Step 6: Final answer
    x = 574.53

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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.