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Finding the Fourth Proportional to 676.83, 932.93 and 490.06

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Solution

The fourth proportional to 676.83, 932.93 and 490.06 is: 675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.83 : 932.93 = 490.06 : x
  2. Step 2: Convert to fraction form
    676.83/932.93 = 490.06/x
  3. Step 3: Cross multiply
    676.83x = 932.93 × 490.06
  4. Step 4: Simplify right side
    676.83x = 457,189.23
  5. Step 5: Solve for x
    x = 457,189.23/676.83
  6. Step 6: Final answer
    x = 675.49

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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.