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Finding the Fourth Proportional to 315.81, 473.31 and 207.81

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Solution

The fourth proportional to 315.81, 473.31 and 207.81 is: 311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.81 : 473.31 = 207.81 : x
  2. Step 2: Convert to fraction form
    315.81/473.31 = 207.81/x
  3. Step 3: Cross multiply
    315.81x = 473.31 × 207.81
  4. Step 4: Simplify right side
    315.81x = 98,358.55
  5. Step 5: Solve for x
    x = 98,358.55/315.81
  6. Step 6: Final answer
    x = 311.45

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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.