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Finding the Fourth Proportional to 317.24, 476.26 and 269.45

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Solution

The fourth proportional to 317.24, 476.26 and 269.45 is: 404.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.24 : 476.26 = 269.45 : x
  2. Step 2: Convert to fraction form
    317.24/476.26 = 269.45/x
  3. Step 3: Cross multiply
    317.24x = 476.26 × 269.45
  4. Step 4: Simplify right side
    317.24x = 128,328.26
  5. Step 5: Solve for x
    x = 128,328.26/317.24
  6. Step 6: Final answer
    x = 404.51

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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.