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Finding the Fourth Proportional to 504.62, 696.06 and 422.10

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Solution

The fourth proportional to 504.62, 696.06 and 422.10 is: 582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.62 : 696.06 = 422.10 : x
  2. Step 2: Convert to fraction form
    504.62/696.06 = 422.10/x
  3. Step 3: Cross multiply
    504.62x = 696.06 × 422.10
  4. Step 4: Simplify right side
    504.62x = 293,806.93
  5. Step 5: Solve for x
    x = 293,806.93/504.62
  6. Step 6: Final answer
    x = 582.23

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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.