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Finding the Fourth Proportional to 502.46, 696.61 and 484.64

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Solution

The fourth proportional to 502.46, 696.61 and 484.64 is: 671.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.46 : 696.61 = 484.64 : x
  2. Step 2: Convert to fraction form
    502.46/696.61 = 484.64/x
  3. Step 3: Cross multiply
    502.46x = 696.61 × 484.64
  4. Step 4: Simplify right side
    502.46x = 337,602.65
  5. Step 5: Solve for x
    x = 337,602.65/502.46
  6. Step 6: Final answer
    x = 671.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.