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Finding the Fourth Proportional to 532.76, 799.14 and 301.66

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Solution

The fourth proportional to 532.76, 799.14 and 301.66 is: 452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.76 : 799.14 = 301.66 : x
  2. Step 2: Convert to fraction form
    532.76/799.14 = 301.66/x
  3. Step 3: Cross multiply
    532.76x = 799.14 × 301.66
  4. Step 4: Simplify right side
    532.76x = 241,063.07
  5. Step 5: Solve for x
    x = 241,063.07/532.76
  6. Step 6: Final answer
    x = 452.48

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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.