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Finding the Fourth Proportional to 382.01, 572.51 and 208.42

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Solution

The fourth proportional to 382.01, 572.51 and 208.42 is: 312.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.01 : 572.51 = 208.42 : x
  2. Step 2: Convert to fraction form
    382.01/572.51 = 208.42/x
  3. Step 3: Cross multiply
    382.01x = 572.51 × 208.42
  4. Step 4: Simplify right side
    382.01x = 119,322.06
  5. Step 5: Solve for x
    x = 119,322.06/382.01
  6. Step 6: Final answer
    x = 312.35

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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.