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Finding the Fourth Proportional to 442.31, 664.81 and 365.76

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Solution

The fourth proportional to 442.31, 664.81 and 365.76 is: 549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.31 : 664.81 = 365.76 : x
  2. Step 2: Convert to fraction form
    442.31/664.81 = 365.76/x
  3. Step 3: Cross multiply
    442.31x = 664.81 × 365.76
  4. Step 4: Simplify right side
    442.31x = 243,159.99
  5. Step 5: Solve for x
    x = 243,159.99/442.31
  6. Step 6: Final answer
    x = 549.76

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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.