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Finding the Fourth Proportional to 576.05, 794.85 and 355.07

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Solution

The fourth proportional to 576.05, 794.85 and 355.07 is: 489.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.05 : 794.85 = 355.07 : x
  2. Step 2: Convert to fraction form
    576.05/794.85 = 355.07/x
  3. Step 3: Cross multiply
    576.05x = 794.85 × 355.07
  4. Step 4: Simplify right side
    576.05x = 282,223.42
  5. Step 5: Solve for x
    x = 282,223.42/576.05
  6. Step 6: Final answer
    x = 489.93

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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.