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Finding the Fourth Proportional to 541.53, 746.55 and 410.31

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Solution

The fourth proportional to 541.53, 746.55 and 410.31 is: 565.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.53 : 746.55 = 410.31 : x
  2. Step 2: Convert to fraction form
    541.53/746.55 = 410.31/x
  3. Step 3: Cross multiply
    541.53x = 746.55 × 410.31
  4. Step 4: Simplify right side
    541.53x = 306,316.93
  5. Step 5: Solve for x
    x = 306,316.93/541.53
  6. Step 6: Final answer
    x = 565.65

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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.