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Finding the Fourth Proportional to 612.09, 914.36 and 490.59

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Solution

The fourth proportional to 612.09, 914.36 and 490.59 is: 732.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.09 : 914.36 = 490.59 : x
  2. Step 2: Convert to fraction form
    612.09/914.36 = 490.59/x
  3. Step 3: Cross multiply
    612.09x = 914.36 × 490.59
  4. Step 4: Simplify right side
    612.09x = 448,573.42
  5. Step 5: Solve for x
    x = 448,573.42/612.09
  6. Step 6: Final answer
    x = 732.86

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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.