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Finding the Fourth Proportional to 540.58, 746.36 and 416.02

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Solution

The fourth proportional to 540.58, 746.36 and 416.02 is: 574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.58 : 746.36 = 416.02 : x
  2. Step 2: Convert to fraction form
    540.58/746.36 = 416.02/x
  3. Step 3: Cross multiply
    540.58x = 746.36 × 416.02
  4. Step 4: Simplify right side
    540.58x = 310,500.69
  5. Step 5: Solve for x
    x = 310,500.69/540.58
  6. Step 6: Final answer
    x = 574.38

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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.