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Finding the Fourth Proportional to 424.16, 584.74 and 349.53

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Solution

The fourth proportional to 424.16, 584.74 and 349.53 is: 481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.16 : 584.74 = 349.53 : x
  2. Step 2: Convert to fraction form
    424.16/584.74 = 349.53/x
  3. Step 3: Cross multiply
    424.16x = 584.74 × 349.53
  4. Step 4: Simplify right side
    424.16x = 204,384.17
  5. Step 5: Solve for x
    x = 204,384.17/424.16
  6. Step 6: Final answer
    x = 481.86

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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.