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Finding the Fourth Proportional to 625.92, 864.32 and 419.52

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Solution

The fourth proportional to 625.92, 864.32 and 419.52 is: 579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.92 : 864.32 = 419.52 : x
  2. Step 2: Convert to fraction form
    625.92/864.32 = 419.52/x
  3. Step 3: Cross multiply
    625.92x = 864.32 × 419.52
  4. Step 4: Simplify right side
    625.92x = 362,599.53
  5. Step 5: Solve for x
    x = 362,599.53/625.92
  6. Step 6: Final answer
    x = 579.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.