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Finding the Fourth Proportional to 673.38, 928.77 and 496.40

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Solution

The fourth proportional to 673.38, 928.77 and 496.40 is: 684.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.38 : 928.77 = 496.40 : x
  2. Step 2: Convert to fraction form
    673.38/928.77 = 496.40/x
  3. Step 3: Cross multiply
    673.38x = 928.77 × 496.40
  4. Step 4: Simplify right side
    673.38x = 461,036.78
  5. Step 5: Solve for x
    x = 461,036.78/673.38
  6. Step 6: Final answer
    x = 684.66

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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.