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Finding the Fourth Proportional to 532.84, 798.84 and 301.54

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Solution

The fourth proportional to 532.84, 798.84 and 301.54 is: 452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.84 : 798.84 = 301.54 : x
  2. Step 2: Convert to fraction form
    532.84/798.84 = 301.54/x
  3. Step 3: Cross multiply
    532.84x = 798.84 × 301.54
  4. Step 4: Simplify right side
    532.84x = 240,882.21
  5. Step 5: Solve for x
    x = 240,882.21/532.84
  6. Step 6: Final answer
    x = 452.07

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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.