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Finding the Fourth Proportional to 576.83, 794.34 and 429.21

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Solution

The fourth proportional to 576.83, 794.34 and 429.21 is: 591.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.83 : 794.34 = 429.21 : x
  2. Step 2: Convert to fraction form
    576.83/794.34 = 429.21/x
  3. Step 3: Cross multiply
    576.83x = 794.34 × 429.21
  4. Step 4: Simplify right side
    576.83x = 340,938.67
  5. Step 5: Solve for x
    x = 340,938.67/576.83
  6. Step 6: Final answer
    x = 591.05

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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.