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Finding the Fourth Proportional to 442.86, 664.39 and 313.11

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Solution

The fourth proportional to 442.86, 664.39 and 313.11 is: 469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.86 : 664.39 = 313.11 : x
  2. Step 2: Convert to fraction form
    442.86/664.39 = 313.11/x
  3. Step 3: Cross multiply
    442.86x = 664.39 × 313.11
  4. Step 4: Simplify right side
    442.86x = 208,027.15
  5. Step 5: Solve for x
    x = 208,027.15/442.86
  6. Step 6: Final answer
    x = 469.74

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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.