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Finding the Fourth Proportional to 441.90, 609.91 and 368.14

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Solution

The fourth proportional to 441.90, 609.91 and 368.14 is: 508.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.90 : 609.91 = 368.14 : x
  2. Step 2: Convert to fraction form
    441.90/609.91 = 368.14/x
  3. Step 3: Cross multiply
    441.90x = 609.91 × 368.14
  4. Step 4: Simplify right side
    441.90x = 224,532.27
  5. Step 5: Solve for x
    x = 224,532.27/441.90
  6. Step 6: Final answer
    x = 508.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.