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Finding the Fourth Proportional to 532.14, 798.21 and 243.42

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Solution

The fourth proportional to 532.14, 798.21 and 243.42 is: 365.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.14 : 798.21 = 243.42 : x
  2. Step 2: Convert to fraction form
    532.14/798.21 = 243.42/x
  3. Step 3: Cross multiply
    532.14x = 798.21 × 243.42
  4. Step 4: Simplify right side
    532.14x = 194,300.28
  5. Step 5: Solve for x
    x = 194,300.28/532.14
  6. Step 6: Final answer
    x = 365.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.