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Finding the Fourth Proportional to 352.09, 524.75 and 349.26

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Solution

The fourth proportional to 352.09, 524.75 and 349.26 is: 520.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.09 : 524.75 = 349.26 : x
  2. Step 2: Convert to fraction form
    352.09/524.75 = 349.26/x
  3. Step 3: Cross multiply
    352.09x = 524.75 × 349.26
  4. Step 4: Simplify right side
    352.09x = 183,274.19
  5. Step 5: Solve for x
    x = 183,274.19/352.09
  6. Step 6: Final answer
    x = 520.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.