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Finding the Fourth Proportional to 606.46, 833.68 and 522.12

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Solution

The fourth proportional to 606.46, 833.68 and 522.12 is: 717.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.46 : 833.68 = 522.12 : x
  2. Step 2: Convert to fraction form
    606.46/833.68 = 522.12/x
  3. Step 3: Cross multiply
    606.46x = 833.68 × 522.12
  4. Step 4: Simplify right side
    606.46x = 435,281.00
  5. Step 5: Solve for x
    x = 435,281.00/606.46
  6. Step 6: Final answer
    x = 717.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.