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Finding the Fourth Proportional to 541.56, 747.72 and 431.28

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Solution

The fourth proportional to 541.56, 747.72 and 431.28 is: 595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.56 : 747.72 = 431.28 : x
  2. Step 2: Convert to fraction form
    541.56/747.72 = 431.28/x
  3. Step 3: Cross multiply
    541.56x = 747.72 × 431.28
  4. Step 4: Simplify right side
    541.56x = 322,476.68
  5. Step 5: Solve for x
    x = 322,476.68/541.56
  6. Step 6: Final answer
    x = 595.46

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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.