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Finding the Fourth Proportional to 498.56, 686.48 and 423.23

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Solution

The fourth proportional to 498.56, 686.48 and 423.23 is: 582.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.56 : 686.48 = 423.23 : x
  2. Step 2: Convert to fraction form
    498.56/686.48 = 423.23/x
  3. Step 3: Cross multiply
    498.56x = 686.48 × 423.23
  4. Step 4: Simplify right side
    498.56x = 290,533.38
  5. Step 5: Solve for x
    x = 290,533.38/498.56
  6. Step 6: Final answer
    x = 582.75

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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.