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Finding the Fourth Proportional to 317.70, 477.16 and 281.94

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Solution

The fourth proportional to 317.70, 477.16 and 281.94 is: 423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.70 : 477.16 = 281.94 : x
  2. Step 2: Convert to fraction form
    317.70/477.16 = 281.94/x
  3. Step 3: Cross multiply
    317.70x = 477.16 × 281.94
  4. Step 4: Simplify right side
    317.70x = 134,530.49
  5. Step 5: Solve for x
    x = 134,530.49/317.70
  6. Step 6: Final answer
    x = 423.45

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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.