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Finding the Fourth Proportional to 310.20, 463.96 and 277.96

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Solution

The fourth proportional to 310.20, 463.96 and 277.96 is: 415.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.20 : 463.96 = 277.96 : x
  2. Step 2: Convert to fraction form
    310.20/463.96 = 277.96/x
  3. Step 3: Cross multiply
    310.20x = 463.96 × 277.96
  4. Step 4: Simplify right side
    310.20x = 128,962.32
  5. Step 5: Solve for x
    x = 128,962.32/310.20
  6. Step 6: Final answer
    x = 415.74

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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.