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Finding the Fourth Proportional to 541.63, 747.56 and 354.79

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Solution

The fourth proportional to 541.63, 747.56 and 354.79 is: 489.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.63 : 747.56 = 354.79 : x
  2. Step 2: Convert to fraction form
    541.63/747.56 = 354.79/x
  3. Step 3: Cross multiply
    541.63x = 747.56 × 354.79
  4. Step 4: Simplify right side
    541.63x = 265,223.17
  5. Step 5: Solve for x
    x = 265,223.17/541.63
  6. Step 6: Final answer
    x = 489.68

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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.