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Finding the Fourth Proportional to 374.68, 516.90 and 258.20

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Solution

The fourth proportional to 374.68, 516.90 and 258.20 is: 356.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.68 : 516.90 = 258.20 : x
  2. Step 2: Convert to fraction form
    374.68/516.90 = 258.20/x
  3. Step 3: Cross multiply
    374.68x = 516.90 × 258.20
  4. Step 4: Simplify right side
    374.68x = 133,463.58
  5. Step 5: Solve for x
    x = 133,463.58/374.68
  6. Step 6: Final answer
    x = 356.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.