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Finding the Fourth Proportional to 532.35, 798.81 and 243.75

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Solution

The fourth proportional to 532.35, 798.81 and 243.75 is: 365.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.35 : 798.81 = 243.75 : x
  2. Step 2: Convert to fraction form
    532.35/798.81 = 243.75/x
  3. Step 3: Cross multiply
    532.35x = 798.81 × 243.75
  4. Step 4: Simplify right side
    532.35x = 194,709.94
  5. Step 5: Solve for x
    x = 194,709.94/532.35
  6. Step 6: Final answer
    x = 365.76

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Why These Related Problems?

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