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Finding the Fourth Proportional to 622.63, 934.13 and 276.05

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Solution

The fourth proportional to 622.63, 934.13 and 276.05 is: 414.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.63 : 934.13 = 276.05 : x
  2. Step 2: Convert to fraction form
    622.63/934.13 = 276.05/x
  3. Step 3: Cross multiply
    622.63x = 934.13 × 276.05
  4. Step 4: Simplify right side
    622.63x = 257,869.61
  5. Step 5: Solve for x
    x = 257,869.61/622.63
  6. Step 6: Final answer
    x = 414.16

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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.