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Finding the Fourth Proportional to 410.49, 615.06 and 193.77

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Solution

The fourth proportional to 410.49, 615.06 and 193.77 is: 290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.49 : 615.06 = 193.77 : x
  2. Step 2: Convert to fraction form
    410.49/615.06 = 193.77/x
  3. Step 3: Cross multiply
    410.49x = 615.06 × 193.77
  4. Step 4: Simplify right side
    410.49x = 119,180.18
  5. Step 5: Solve for x
    x = 119,180.18/410.49
  6. Step 6: Final answer
    x = 290.34

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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.