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Finding the Fourth Proportional to 541.65, 747.83 and 417.09

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Solution

The fourth proportional to 541.65, 747.83 and 417.09 is: 575.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.65 : 747.83 = 417.09 : x
  2. Step 2: Convert to fraction form
    541.65/747.83 = 417.09/x
  3. Step 3: Cross multiply
    541.65x = 747.83 × 417.09
  4. Step 4: Simplify right side
    541.65x = 311,912.41
  5. Step 5: Solve for x
    x = 311,912.41/541.65
  6. Step 6: Final answer
    x = 575.86

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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.