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Finding the Fourth Proportional to 556.67, 834.20 and 498.35

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Solution

The fourth proportional to 556.67, 834.20 and 498.35 is: 746.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.67 : 834.20 = 498.35 : x
  2. Step 2: Convert to fraction form
    556.67/834.20 = 498.35/x
  3. Step 3: Cross multiply
    556.67x = 834.20 × 498.35
  4. Step 4: Simplify right side
    556.67x = 415,725.03
  5. Step 5: Solve for x
    x = 415,725.03/556.67
  6. Step 6: Final answer
    x = 746.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.