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Finding the Fourth Proportional to 522.21, 784.13 and 414.89

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Solution

The fourth proportional to 522.21, 784.13 and 414.89 is: 622.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.21 : 784.13 = 414.89 : x
  2. Step 2: Convert to fraction form
    522.21/784.13 = 414.89/x
  3. Step 3: Cross multiply
    522.21x = 784.13 × 414.89
  4. Step 4: Simplify right side
    522.21x = 325,321.70
  5. Step 5: Solve for x
    x = 325,321.70/522.21
  6. Step 6: Final answer
    x = 622.97

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1.5x scale

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.