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Finding the Fourth Proportional to 317.20, 472.42 and 305.86

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Solution

The fourth proportional to 317.20, 472.42 and 305.86 is: 455.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.20 : 472.42 = 305.86 : x
  2. Step 2: Convert to fraction form
    317.20/472.42 = 305.86/x
  3. Step 3: Cross multiply
    317.20x = 472.42 × 305.86
  4. Step 4: Simplify right side
    317.20x = 144,494.38
  5. Step 5: Solve for x
    x = 144,494.38/317.20
  6. Step 6: Final answer
    x = 455.53

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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.