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Finding the Fourth Proportional to 387.40, 579.90 and 305.80

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Solution

The fourth proportional to 387.40, 579.90 and 305.80 is: 457.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.40 : 579.90 = 305.80 : x
  2. Step 2: Convert to fraction form
    387.40/579.90 = 305.80/x
  3. Step 3: Cross multiply
    387.40x = 579.90 × 305.80
  4. Step 4: Simplify right side
    387.40x = 177,333.42
  5. Step 5: Solve for x
    x = 177,333.42/387.40
  6. Step 6: Final answer
    x = 457.75

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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.