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Finding the Fourth Proportional to 380.04, 569.64 and 206.28

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Solution

The fourth proportional to 380.04, 569.64 and 206.28 is: 309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.04 : 569.64 = 206.28 : x
  2. Step 2: Convert to fraction form
    380.04/569.64 = 206.28/x
  3. Step 3: Cross multiply
    380.04x = 569.64 × 206.28
  4. Step 4: Simplify right side
    380.04x = 117,505.34
  5. Step 5: Solve for x
    x = 117,505.34/380.04
  6. Step 6: Final answer
    x = 309.19

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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.