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Finding the Fourth Proportional to 317.79, 476.57 and 122.64

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Solution

The fourth proportional to 317.79, 476.57 and 122.64 is: 183.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.79 : 476.57 = 122.64 : x
  2. Step 2: Convert to fraction form
    317.79/476.57 = 122.64/x
  3. Step 3: Cross multiply
    317.79x = 476.57 × 122.64
  4. Step 4: Simplify right side
    317.79x = 58,445.81
  5. Step 5: Solve for x
    x = 58,445.81/317.79
  6. Step 6: Final answer
    x = 183.92

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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.