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Finding the Fourth Proportional to 576.95, 795.92 and 419.18

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Solution

The fourth proportional to 576.95, 795.92 and 419.18 is: 578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.95 : 795.92 = 419.18 : x
  2. Step 2: Convert to fraction form
    576.95/795.92 = 419.18/x
  3. Step 3: Cross multiply
    576.95x = 795.92 × 419.18
  4. Step 4: Simplify right side
    576.95x = 333,627.67
  5. Step 5: Solve for x
    x = 333,627.67/576.95
  6. Step 6: Final answer
    x = 578.27

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