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Finding the Fourth Proportional to 410.62, 615.03 and 193.75

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Solution

The fourth proportional to 410.62, 615.03 and 193.75 is: 290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.62 : 615.03 = 193.75 : x
  2. Step 2: Convert to fraction form
    410.62/615.03 = 193.75/x
  3. Step 3: Cross multiply
    410.62x = 615.03 × 193.75
  4. Step 4: Simplify right side
    410.62x = 119,162.06
  5. Step 5: Solve for x
    x = 119,162.06/410.62
  6. Step 6: Final answer
    x = 290.20

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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.