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Finding the Fourth Proportional to 576.01, 864.38 and 419.55

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Solution

The fourth proportional to 576.01, 864.38 and 419.55 is: 629.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.01 : 864.38 = 419.55 : x
  2. Step 2: Convert to fraction form
    576.01/864.38 = 419.55/x
  3. Step 3: Cross multiply
    576.01x = 864.38 × 419.55
  4. Step 4: Simplify right side
    576.01x = 362,650.63
  5. Step 5: Solve for x
    x = 362,650.63/576.01
  6. Step 6: Final answer
    x = 629.59

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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.