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Finding the Fourth Proportional to 563.83, 777.60 and 475.75

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Solution

The fourth proportional to 563.83, 777.60 and 475.75 is: 656.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.83 : 777.60 = 475.75 : x
  2. Step 2: Convert to fraction form
    563.83/777.60 = 475.75/x
  3. Step 3: Cross multiply
    563.83x = 777.60 × 475.75
  4. Step 4: Simplify right side
    563.83x = 369,943.20
  5. Step 5: Solve for x
    x = 369,943.20/563.83
  6. Step 6: Final answer
    x = 656.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.