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Finding the Fourth Proportional to 410.37, 615.15 and 193.70

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Solution

The fourth proportional to 410.37, 615.15 and 193.70 is: 290.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.37 : 615.15 = 193.70 : x
  2. Step 2: Convert to fraction form
    410.37/615.15 = 193.70/x
  3. Step 3: Cross multiply
    410.37x = 615.15 × 193.70
  4. Step 4: Simplify right side
    410.37x = 119,151.48
  5. Step 5: Solve for x
    x = 119,151.48/410.37
  6. Step 6: Final answer
    x = 290.35

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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.