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Finding the Fourth Proportional to 424.58, 586.26 and 337.64

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Solution

The fourth proportional to 424.58, 586.26 and 337.64 is: 466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.58 : 586.26 = 337.64 : x
  2. Step 2: Convert to fraction form
    424.58/586.26 = 337.64/x
  3. Step 3: Cross multiply
    424.58x = 586.26 × 337.64
  4. Step 4: Simplify right side
    424.58x = 197,941.90
  5. Step 5: Solve for x
    x = 197,941.90/424.58
  6. Step 6: Final answer
    x = 466.21

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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.