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Finding the Fourth Proportional to 541.23, 746.91 and 305.16

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Solution

The fourth proportional to 541.23, 746.91 and 305.16 is: 421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.23 : 746.91 = 305.16 : x
  2. Step 2: Convert to fraction form
    541.23/746.91 = 305.16/x
  3. Step 3: Cross multiply
    541.23x = 746.91 × 305.16
  4. Step 4: Simplify right side
    541.23x = 227,927.06
  5. Step 5: Solve for x
    x = 227,927.06/541.23
  6. Step 6: Final answer
    x = 421.13

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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.