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Finding the Fourth Proportional to 355.26, 532.98 and 349.14

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Solution

The fourth proportional to 355.26, 532.98 and 349.14 is: 523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.26 : 532.98 = 349.14 : x
  2. Step 2: Convert to fraction form
    355.26/532.98 = 349.14/x
  3. Step 3: Cross multiply
    355.26x = 532.98 × 349.14
  4. Step 4: Simplify right side
    355.26x = 186,084.64
  5. Step 5: Solve for x
    x = 186,084.64/355.26
  6. Step 6: Final answer
    x = 523.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.