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Finding the Fourth Proportional to 576.74, 795.43 and 419.38

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Solution

The fourth proportional to 576.74, 795.43 and 419.38 is: 578.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.74 : 795.43 = 419.38 : x
  2. Step 2: Convert to fraction form
    576.74/795.43 = 419.38/x
  3. Step 3: Cross multiply
    576.74x = 795.43 × 419.38
  4. Step 4: Simplify right side
    576.74x = 333,587.43
  5. Step 5: Solve for x
    x = 333,587.43/576.74
  6. Step 6: Final answer
    x = 578.40

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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.