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Finding the Fourth Proportional to 395.12, 592.25 and 349.58

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Solution

The fourth proportional to 395.12, 592.25 and 349.58 is: 523.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.12 : 592.25 = 349.58 : x
  2. Step 2: Convert to fraction form
    395.12/592.25 = 349.58/x
  3. Step 3: Cross multiply
    395.12x = 592.25 × 349.58
  4. Step 4: Simplify right side
    395.12x = 207,038.76
  5. Step 5: Solve for x
    x = 207,038.76/395.12
  6. Step 6: Final answer
    x = 523.99

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