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Finding the Fourth Proportional to 541.05, 746.67 and 305.01

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Solution

The fourth proportional to 541.05, 746.67 and 305.01 is: 420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.05 : 746.67 = 305.01 : x
  2. Step 2: Convert to fraction form
    541.05/746.67 = 305.01/x
  3. Step 3: Cross multiply
    541.05x = 746.67 × 305.01
  4. Step 4: Simplify right side
    541.05x = 227,741.82
  5. Step 5: Solve for x
    x = 227,741.82/541.05
  6. Step 6: Final answer
    x = 420.93

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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.