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Finding the Fourth Proportional to 442.17, 609.84 and 368.37

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Solution

The fourth proportional to 442.17, 609.84 and 368.37 is: 508.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.17 : 609.84 = 368.37 : x
  2. Step 2: Convert to fraction form
    442.17/609.84 = 368.37/x
  3. Step 3: Cross multiply
    442.17x = 609.84 × 368.37
  4. Step 4: Simplify right side
    442.17x = 224,646.76
  5. Step 5: Solve for x
    x = 224,646.76/442.17
  6. Step 6: Final answer
    x = 508.06

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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.