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Finding the Fourth Proportional to 532.50, 798.86 and 207.89

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Solution

The fourth proportional to 532.50, 798.86 and 207.89 is: 311.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.50 : 798.86 = 207.89 : x
  2. Step 2: Convert to fraction form
    532.50/798.86 = 207.89/x
  3. Step 3: Cross multiply
    532.50x = 798.86 × 207.89
  4. Step 4: Simplify right side
    532.50x = 166,075.01
  5. Step 5: Solve for x
    x = 166,075.01/532.50
  6. Step 6: Final answer
    x = 311.88

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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.