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Finding the Fourth Proportional to 576.02, 794.90 and 354.96

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Solution

The fourth proportional to 576.02, 794.90 and 354.96 is: 489.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.02 : 794.90 = 354.96 : x
  2. Step 2: Convert to fraction form
    576.02/794.90 = 354.96/x
  3. Step 3: Cross multiply
    576.02x = 794.90 × 354.96
  4. Step 4: Simplify right side
    576.02x = 282,155.93
  5. Step 5: Solve for x
    x = 282,155.93/576.02
  6. Step 6: Final answer
    x = 489.84

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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.