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Finding the Fourth Proportional to 315.88, 475.81 and 282.04

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Solution

The fourth proportional to 315.88, 475.81 and 282.04 is: 424.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.88 : 475.81 = 282.04 : x
  2. Step 2: Convert to fraction form
    315.88/475.81 = 282.04/x
  3. Step 3: Cross multiply
    315.88x = 475.81 × 282.04
  4. Step 4: Simplify right side
    315.88x = 134,197.45
  5. Step 5: Solve for x
    x = 134,197.45/315.88
  6. Step 6: Final answer
    x = 424.84

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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.