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Finding the Fourth Proportional to 540.69, 744.69 and 466.88

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Solution

The fourth proportional to 540.69, 744.69 and 466.88 is: 643.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.69 : 744.69 = 466.88 : x
  2. Step 2: Convert to fraction form
    540.69/744.69 = 466.88/x
  3. Step 3: Cross multiply
    540.69x = 744.69 × 466.88
  4. Step 4: Simplify right side
    540.69x = 347,677.14
  5. Step 5: Solve for x
    x = 347,677.14/540.69
  6. Step 6: Final answer
    x = 643.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.