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Finding the Fourth Proportional to 496.76, 683.52 and 484.04

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Solution

The fourth proportional to 496.76, 683.52 and 484.04 is: 666.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.76 : 683.52 = 484.04 : x
  2. Step 2: Convert to fraction form
    496.76/683.52 = 484.04/x
  3. Step 3: Cross multiply
    496.76x = 683.52 × 484.04
  4. Step 4: Simplify right side
    496.76x = 330,851.02
  5. Step 5: Solve for x
    x = 330,851.02/496.76
  6. Step 6: Final answer
    x = 666.02

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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.