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Finding the Fourth Proportional to 317.84, 476.34 and 208.02

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Solution

The fourth proportional to 317.84, 476.34 and 208.02 is: 311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.84 : 476.34 = 208.02 : x
  2. Step 2: Convert to fraction form
    317.84/476.34 = 208.02/x
  3. Step 3: Cross multiply
    317.84x = 476.34 × 208.02
  4. Step 4: Simplify right side
    317.84x = 99,088.25
  5. Step 5: Solve for x
    x = 99,088.25/317.84
  6. Step 6: Final answer
    x = 311.76

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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.