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Finding the Fourth Proportional to 315.96, 475.62 and 286.20

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Solution

The fourth proportional to 315.96, 475.62 and 286.20 is: 430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.96 : 475.62 = 286.20 : x
  2. Step 2: Convert to fraction form
    315.96/475.62 = 286.20/x
  3. Step 3: Cross multiply
    315.96x = 475.62 × 286.20
  4. Step 4: Simplify right side
    315.96x = 136,122.44
  5. Step 5: Solve for x
    x = 136,122.44/315.96
  6. Step 6: Final answer
    x = 430.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.