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Finding the Fourth Proportional to 611.60, 917.40 and 563.36

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Solution

The fourth proportional to 611.60, 917.40 and 563.36 is: 845.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.60 : 917.40 = 563.36 : x
  2. Step 2: Convert to fraction form
    611.60/917.40 = 563.36/x
  3. Step 3: Cross multiply
    611.60x = 917.40 × 563.36
  4. Step 4: Simplify right side
    611.60x = 516,826.46
  5. Step 5: Solve for x
    x = 516,826.46/611.60
  6. Step 6: Final answer
    x = 845.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.