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Finding the Fourth Proportional to 532.14, 798.21 and 207.78

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Solution

The fourth proportional to 532.14, 798.21 and 207.78 is: 311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.14 : 798.21 = 207.78 : x
  2. Step 2: Convert to fraction form
    532.14/798.21 = 207.78/x
  3. Step 3: Cross multiply
    532.14x = 798.21 × 207.78
  4. Step 4: Simplify right side
    532.14x = 165,852.07
  5. Step 5: Solve for x
    x = 165,852.07/532.14
  6. Step 6: Final answer
    x = 311.67

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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.