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Finding the Fourth Proportional to 395.47, 595.16 and 298.47

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Solution

The fourth proportional to 395.47, 595.16 and 298.47 is: 449.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.47 : 595.16 = 298.47 : x
  2. Step 2: Convert to fraction form
    395.47/595.16 = 298.47/x
  3. Step 3: Cross multiply
    395.47x = 595.16 × 298.47
  4. Step 4: Simplify right side
    395.47x = 177,637.41
  5. Step 5: Solve for x
    x = 177,637.41/395.47
  6. Step 6: Final answer
    x = 449.18

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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.