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Finding the Fourth Proportional to 540.69, 746.24 and 316.62

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Solution

The fourth proportional to 540.69, 746.24 and 316.62 is: 436.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.69 : 746.24 = 316.62 : x
  2. Step 2: Convert to fraction form
    540.69/746.24 = 316.62/x
  3. Step 3: Cross multiply
    540.69x = 746.24 × 316.62
  4. Step 4: Simplify right side
    540.69x = 236,272.93
  5. Step 5: Solve for x
    x = 236,272.93/540.69
  6. Step 6: Final answer
    x = 436.98

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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.