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Finding the Fourth Proportional to 395.32, 592.34 and 287.18

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Solution

The fourth proportional to 395.32, 592.34 and 287.18 is: 430.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.32 : 592.34 = 287.18 : x
  2. Step 2: Convert to fraction form
    395.32/592.34 = 287.18/x
  3. Step 3: Cross multiply
    395.32x = 592.34 × 287.18
  4. Step 4: Simplify right side
    395.32x = 170,108.20
  5. Step 5: Solve for x
    x = 170,108.20/395.32
  6. Step 6: Final answer
    x = 430.31

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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.