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Finding the Fourth Proportional to 576.61, 794.16 and 428.98

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Solution

The fourth proportional to 576.61, 794.16 and 428.98 is: 590.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.61 : 794.16 = 428.98 : x
  2. Step 2: Convert to fraction form
    576.61/794.16 = 428.98/x
  3. Step 3: Cross multiply
    576.61x = 794.16 × 428.98
  4. Step 4: Simplify right side
    576.61x = 340,678.76
  5. Step 5: Solve for x
    x = 340,678.76/576.61
  6. Step 6: Final answer
    x = 590.83

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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.