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Finding the Fourth Proportional to 349.18, 526.38 and 326.26

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Solution

The fourth proportional to 349.18, 526.38 and 326.26 is: 491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.18 : 526.38 = 326.26 : x
  2. Step 2: Convert to fraction form
    349.18/526.38 = 326.26/x
  3. Step 3: Cross multiply
    349.18x = 526.38 × 326.26
  4. Step 4: Simplify right side
    349.18x = 171,736.74
  5. Step 5: Solve for x
    x = 171,736.74/349.18
  6. Step 6: Final answer
    x = 491.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.