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Finding the Fourth Proportional to 522.14, 780.37 and 412.79

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Solution

The fourth proportional to 522.14, 780.37 and 412.79 is: 616.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.14 : 780.37 = 412.79 : x
  2. Step 2: Convert to fraction form
    522.14/780.37 = 412.79/x
  3. Step 3: Cross multiply
    522.14x = 780.37 × 412.79
  4. Step 4: Simplify right side
    522.14x = 322,128.93
  5. Step 5: Solve for x
    x = 322,128.93/522.14
  6. Step 6: Final answer
    x = 616.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.