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Finding the Fourth Proportional to 541.41, 746.82 and 410.19

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Solution

The fourth proportional to 541.41, 746.82 and 410.19 is: 565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.41 : 746.82 = 410.19 : x
  2. Step 2: Convert to fraction form
    541.41/746.82 = 410.19/x
  3. Step 3: Cross multiply
    541.41x = 746.82 × 410.19
  4. Step 4: Simplify right side
    541.41x = 306,338.10
  5. Step 5: Solve for x
    x = 306,338.10/541.41
  6. Step 6: Final answer
    x = 565.82

Related Problems

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Double scale
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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.