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Finding the Fourth Proportional to 395.64, 592.98 and 230.80

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Solution

The fourth proportional to 395.64, 592.98 and 230.80 is: 345.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.64 : 592.98 = 230.80 : x
  2. Step 2: Convert to fraction form
    395.64/592.98 = 230.80/x
  3. Step 3: Cross multiply
    395.64x = 592.98 × 230.80
  4. Step 4: Simplify right side
    395.64x = 136,859.78
  5. Step 5: Solve for x
    x = 136,859.78/395.64
  6. Step 6: Final answer
    x = 345.92

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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.