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Finding the Fourth Proportional to 442.14, 609.55 and 368.56

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Solution

The fourth proportional to 442.14, 609.55 and 368.56 is: 508.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.14 : 609.55 = 368.56 : x
  2. Step 2: Convert to fraction form
    442.14/609.55 = 368.56/x
  3. Step 3: Cross multiply
    442.14x = 609.55 × 368.56
  4. Step 4: Simplify right side
    442.14x = 224,655.75
  5. Step 5: Solve for x
    x = 224,655.75/442.14
  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.