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Finding the Fourth Proportional to 532.50, 798.75 and 243.94

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Solution

The fourth proportional to 532.50, 798.75 and 243.94 is: 365.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.50 : 798.75 = 243.94 : x
  2. Step 2: Convert to fraction form
    532.50/798.75 = 243.94/x
  3. Step 3: Cross multiply
    532.50x = 798.75 × 243.94
  4. Step 4: Simplify right side
    532.50x = 194,847.08
  5. Step 5: Solve for x
    x = 194,847.08/532.50
  6. Step 6: Final answer
    x = 365.91

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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.