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Finding the Fourth Proportional to 614.55, 919.80 and 432.30

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Solution

The fourth proportional to 614.55, 919.80 and 432.30 is: 647.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.55 : 919.80 = 432.30 : x
  2. Step 2: Convert to fraction form
    614.55/919.80 = 432.30/x
  3. Step 3: Cross multiply
    614.55x = 919.80 × 432.30
  4. Step 4: Simplify right side
    614.55x = 397,629.54
  5. Step 5: Solve for x
    x = 397,629.54/614.55
  6. Step 6: Final answer
    x = 647.03

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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.