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Finding the Fourth Proportional to 395.46, 592.62 and 290.88

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Solution

The fourth proportional to 395.46, 592.62 and 290.88 is: 435.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.46 : 592.62 = 290.88 : x
  2. Step 2: Convert to fraction form
    395.46/592.62 = 290.88/x
  3. Step 3: Cross multiply
    395.46x = 592.62 × 290.88
  4. Step 4: Simplify right side
    395.46x = 172,381.31
  5. Step 5: Solve for x
    x = 172,381.31/395.46
  6. Step 6: Final answer
    x = 435.90

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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.