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Finding the Fourth Proportional to 424.10, 586.44 and 336.62

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Solution

The fourth proportional to 424.10, 586.44 and 336.62 is: 465.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.10 : 586.44 = 336.62 : x
  2. Step 2: Convert to fraction form
    424.10/586.44 = 336.62/x
  3. Step 3: Cross multiply
    424.10x = 586.44 × 336.62
  4. Step 4: Simplify right side
    424.10x = 197,408.90
  5. Step 5: Solve for x
    x = 197,408.90/424.10
  6. Step 6: Final answer
    x = 465.47

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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.