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Finding the Fourth Proportional to 315.91, 473.06 and 264.42

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Solution

The fourth proportional to 315.91, 473.06 and 264.42 is: 395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.91 : 473.06 = 264.42 : x
  2. Step 2: Convert to fraction form
    315.91/473.06 = 264.42/x
  3. Step 3: Cross multiply
    315.91x = 473.06 × 264.42
  4. Step 4: Simplify right side
    315.91x = 125,086.53
  5. Step 5: Solve for x
    x = 125,086.53/315.91
  6. Step 6: Final answer
    x = 395.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.