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Finding the Fourth Proportional to 409.19, 612.66 and 370.04

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Solution

The fourth proportional to 409.19, 612.66 and 370.04 is: 554.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.19 : 612.66 = 370.04 : x
  2. Step 2: Convert to fraction form
    409.19/612.66 = 370.04/x
  3. Step 3: Cross multiply
    409.19x = 612.66 × 370.04
  4. Step 4: Simplify right side
    409.19x = 226,708.71
  5. Step 5: Solve for x
    x = 226,708.71/409.19
  6. Step 6: Final answer
    x = 554.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.