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Finding the Fourth Proportional to 540.12, 746.19 and 416.28

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Solution

The fourth proportional to 540.12, 746.19 and 416.28 is: 575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.12 : 746.19 = 416.28 : x
  2. Step 2: Convert to fraction form
    540.12/746.19 = 416.28/x
  3. Step 3: Cross multiply
    540.12x = 746.19 × 416.28
  4. Step 4: Simplify right side
    540.12x = 310,623.97
  5. Step 5: Solve for x
    x = 310,623.97/540.12
  6. Step 6: Final answer
    x = 575.10

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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.