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Finding the Fourth Proportional to 611.83, 845.01 and 415

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Solution

The fourth proportional to 611.83, 845.01 and 415 is: 573.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.83 : 845.01 = 415 : x
  2. Step 2: Convert to fraction form
    611.83/845.01 = 415/x
  3. Step 3: Cross multiply
    611.83x = 845.01 × 415
  4. Step 4: Simplify right side
    611.83x = 350,679.15
  5. Step 5: Solve for x
    x = 350,679.15/611.83
  6. Step 6: Final answer
    x = 573.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.