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Finding the Fourth Proportional to 541.98, 747.53 and 345.31

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Solution

The fourth proportional to 541.98, 747.53 and 345.31 is: 476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.98 : 747.53 = 345.31 : x
  2. Step 2: Convert to fraction form
    541.98/747.53 = 345.31/x
  3. Step 3: Cross multiply
    541.98x = 747.53 × 345.31
  4. Step 4: Simplify right side
    541.98x = 258,127.86
  5. Step 5: Solve for x
    x = 258,127.86/541.98
  6. Step 6: Final answer
    x = 476.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.