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Finding the Fourth Proportional to 651.15, 975.84 and 419.91

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Solution

The fourth proportional to 651.15, 975.84 and 419.91 is: 629.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.15 : 975.84 = 419.91 : x
  2. Step 2: Convert to fraction form
    651.15/975.84 = 419.91/x
  3. Step 3: Cross multiply
    651.15x = 975.84 × 419.91
  4. Step 4: Simplify right side
    651.15x = 409,764.97
  5. Step 5: Solve for x
    x = 409,764.97/651.15
  6. Step 6: Final answer
    x = 629.29

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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.