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Finding the Fourth Proportional to 538.65, 743.92 and 480.70

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Solution

The fourth proportional to 538.65, 743.92 and 480.70 is: 663.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.65 : 743.92 = 480.70 : x
  2. Step 2: Convert to fraction form
    538.65/743.92 = 480.70/x
  3. Step 3: Cross multiply
    538.65x = 743.92 × 480.70
  4. Step 4: Simplify right side
    538.65x = 357,602.07
  5. Step 5: Solve for x
    x = 357,602.07/538.65
  6. Step 6: Final answer
    x = 663.89

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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.