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Finding the Fourth Proportional to 315.66, 471.24 and 281.34

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Solution

The fourth proportional to 315.66, 471.24 and 281.34 is: 420.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.66 : 471.24 = 281.34 : x
  2. Step 2: Convert to fraction form
    315.66/471.24 = 281.34/x
  3. Step 3: Cross multiply
    315.66x = 471.24 × 281.34
  4. Step 4: Simplify right side
    315.66x = 132,578.66
  5. Step 5: Solve for x
    x = 132,578.66/315.66
  6. Step 6: Final answer
    x = 420.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.