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Finding the Fourth Proportional to 541.30, 746.53 and 344.74

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Solution

The fourth proportional to 541.30, 746.53 and 344.74 is: 475.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.30 : 746.53 = 344.74 : x
  2. Step 2: Convert to fraction form
    541.30/746.53 = 344.74/x
  3. Step 3: Cross multiply
    541.30x = 746.53 × 344.74
  4. Step 4: Simplify right side
    541.30x = 257,358.75
  5. Step 5: Solve for x
    x = 257,358.75/541.30
  6. Step 6: Final answer
    x = 475.45

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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.