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Finding the Fourth Proportional to 650.82, 977.08 and 419.10

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Solution

The fourth proportional to 650.82, 977.08 and 419.10 is: 629.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.82 : 977.08 = 419.10 : x
  2. Step 2: Convert to fraction form
    650.82/977.08 = 419.10/x
  3. Step 3: Cross multiply
    650.82x = 977.08 × 419.10
  4. Step 4: Simplify right side
    650.82x = 409,494.23
  5. Step 5: Solve for x
    x = 409,494.23/650.82
  6. Step 6: Final answer
    x = 629.20

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Why These Related Problems?

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