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Finding the Fourth Proportional to 517.58, 776.55 and 273.94

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Solution

The fourth proportional to 517.58, 776.55 and 273.94 is: 411.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.58 : 776.55 = 273.94 : x
  2. Step 2: Convert to fraction form
    517.58/776.55 = 273.94/x
  3. Step 3: Cross multiply
    517.58x = 776.55 × 273.94
  4. Step 4: Simplify right side
    517.58x = 212,725.65
  5. Step 5: Solve for x
    x = 212,725.65/517.58
  6. Step 6: Final answer
    x = 411.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.