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Finding the Fourth Proportional to 532.46, 800.19 and 276.14

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Solution

The fourth proportional to 532.46, 800.19 and 276.14 is: 414.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.46 : 800.19 = 276.14 : x
  2. Step 2: Convert to fraction form
    532.46/800.19 = 276.14/x
  3. Step 3: Cross multiply
    532.46x = 800.19 × 276.14
  4. Step 4: Simplify right side
    532.46x = 220,964.47
  5. Step 5: Solve for x
    x = 220,964.47/532.46
  6. Step 6: Final answer
    x = 414.99

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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.