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Finding the Fourth Proportional to 363.75, 546.27 and 349.06

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Solution

The fourth proportional to 363.75, 546.27 and 349.06 is: 524.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.75 : 546.27 = 349.06 : x
  2. Step 2: Convert to fraction form
    363.75/546.27 = 349.06/x
  3. Step 3: Cross multiply
    363.75x = 546.27 × 349.06
  4. Step 4: Simplify right side
    363.75x = 190,681.01
  5. Step 5: Solve for x
    x = 190,681.01/363.75
  6. Step 6: Final answer
    x = 524.21

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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.