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Finding the Fourth Proportional to 539.22, 746.13 and 460.41

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Solution

The fourth proportional to 539.22, 746.13 and 460.41 is: 637.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.22 : 746.13 = 460.41 : x
  2. Step 2: Convert to fraction form
    539.22/746.13 = 460.41/x
  3. Step 3: Cross multiply
    539.22x = 746.13 × 460.41
  4. Step 4: Simplify right side
    539.22x = 343,525.71
  5. Step 5: Solve for x
    x = 343,525.71/539.22
  6. Step 6: Final answer
    x = 637.08

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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.