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Finding the Fourth Proportional to 409.14, 615.06 and 396.18

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Solution

The fourth proportional to 409.14, 615.06 and 396.18 is: 595.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.14 : 615.06 = 396.18 : x
  2. Step 2: Convert to fraction form
    409.14/615.06 = 396.18/x
  3. Step 3: Cross multiply
    409.14x = 615.06 × 396.18
  4. Step 4: Simplify right side
    409.14x = 243,674.47
  5. Step 5: Solve for x
    x = 243,674.47/409.14
  6. Step 6: Final answer
    x = 595.58

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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.