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Finding the Fourth Proportional to 395.17, 592.53 and 189.46

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Solution

The fourth proportional to 395.17, 592.53 and 189.46 is: 284.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.17 : 592.53 = 189.46 : x
  2. Step 2: Convert to fraction form
    395.17/592.53 = 189.46/x
  3. Step 3: Cross multiply
    395.17x = 592.53 × 189.46
  4. Step 4: Simplify right side
    395.17x = 112,261.83
  5. Step 5: Solve for x
    x = 112,261.83/395.17
  6. Step 6: Final answer
    x = 284.08

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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.