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Finding the Fourth Proportional to 317.84, 476.64 and 209.44

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Solution

The fourth proportional to 317.84, 476.64 and 209.44 is: 314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.84 : 476.64 = 209.44 : x
  2. Step 2: Convert to fraction form
    317.84/476.64 = 209.44/x
  3. Step 3: Cross multiply
    317.84x = 476.64 × 209.44
  4. Step 4: Simplify right side
    317.84x = 99,827.48
  5. Step 5: Solve for x
    x = 99,827.48/317.84
  6. Step 6: Final answer
    x = 314.08

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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.