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Finding the Fourth Proportional to 532.54, 798.90 and 207.82

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Solution

The fourth proportional to 532.54, 798.90 and 207.82 is: 311.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.54 : 798.90 = 207.82 : x
  2. Step 2: Convert to fraction form
    532.54/798.90 = 207.82/x
  3. Step 3: Cross multiply
    532.54x = 798.90 × 207.82
  4. Step 4: Simplify right side
    532.54x = 166,027.40
  5. Step 5: Solve for x
    x = 166,027.40/532.54
  6. Step 6: Final answer
    x = 311.77

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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.