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Finding the Fourth Proportional to 541.54, 747.56 and 417.15

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Solution

The fourth proportional to 541.54, 747.56 and 417.15 is: 575.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.54 : 747.56 = 417.15 : x
  2. Step 2: Convert to fraction form
    541.54/747.56 = 417.15/x
  3. Step 3: Cross multiply
    541.54x = 747.56 × 417.15
  4. Step 4: Simplify right side
    541.54x = 311,844.65
  5. Step 5: Solve for x
    x = 311,844.65/541.54
  6. Step 6: Final answer
    x = 575.85

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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.