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Finding the Fourth Proportional to 650.42, 975.17 and 377.04

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Solution

The fourth proportional to 650.42, 975.17 and 377.04 is: 565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.42 : 975.17 = 377.04 : x
  2. Step 2: Convert to fraction form
    650.42/975.17 = 377.04/x
  3. Step 3: Cross multiply
    650.42x = 975.17 × 377.04
  4. Step 4: Simplify right side
    650.42x = 367,676.21
  5. Step 5: Solve for x
    x = 367,676.21/650.42
  6. Step 6: Final answer
    x = 565.29

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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.