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Finding the Fourth Proportional to 540.34, 746.02 and 415.78

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Solution

The fourth proportional to 540.34, 746.02 and 415.78 is: 574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.34 : 746.02 = 415.78 : x
  2. Step 2: Convert to fraction form
    540.34/746.02 = 415.78/x
  3. Step 3: Cross multiply
    540.34x = 746.02 × 415.78
  4. Step 4: Simplify right side
    540.34x = 310,178.85
  5. Step 5: Solve for x
    x = 310,178.85/540.34
  6. Step 6: Final answer
    x = 574.05

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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.