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Finding the Fourth Proportional to 315.20, 471.84 and 272

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Solution

The fourth proportional to 315.20, 471.84 and 272 is: 407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.20 : 471.84 = 272 : x
  2. Step 2: Convert to fraction form
    315.20/471.84 = 272/x
  3. Step 3: Cross multiply
    315.20x = 471.84 × 272
  4. Step 4: Simplify right side
    315.20x = 128,340.48
  5. Step 5: Solve for x
    x = 128,340.48/315.20
  6. Step 6: Final answer
    x = 407.17

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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.