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Finding the Fourth Proportional to 540.38, 744.98 and 461.35

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Solution

The fourth proportional to 540.38, 744.98 and 461.35 is: 636.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.38 : 744.98 = 461.35 : x
  2. Step 2: Convert to fraction form
    540.38/744.98 = 461.35/x
  3. Step 3: Cross multiply
    540.38x = 744.98 × 461.35
  4. Step 4: Simplify right side
    540.38x = 343,697.74
  5. Step 5: Solve for x
    x = 343,697.74/540.38
  6. Step 6: Final answer
    x = 636.03

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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.