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Finding the Fourth Proportional to 409.84, 615.36 and 193.84

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Solution

The fourth proportional to 409.84, 615.36 and 193.84 is: 291.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.84 : 615.36 = 193.84 : x
  2. Step 2: Convert to fraction form
    409.84/615.36 = 193.84/x
  3. Step 3: Cross multiply
    409.84x = 615.36 × 193.84
  4. Step 4: Simplify right side
    409.84x = 119,281.38
  5. Step 5: Solve for x
    x = 119,281.38/409.84
  6. Step 6: Final answer
    x = 291.04

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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.