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Finding the Fourth Proportional to 538.50, 738.56 and 532.14

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Solution

The fourth proportional to 538.50, 738.56 and 532.14 is: 729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.50 : 738.56 = 532.14 : x
  2. Step 2: Convert to fraction form
    538.50/738.56 = 532.14/x
  3. Step 3: Cross multiply
    538.50x = 738.56 × 532.14
  4. Step 4: Simplify right side
    538.50x = 393,017.32
  5. Step 5: Solve for x
    x = 393,017.32/538.50
  6. Step 6: Final answer
    x = 729.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.