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Finding the Fourth Proportional to 313.64, 467.65 and 297.96

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Solution

The fourth proportional to 313.64, 467.65 and 297.96 is: 444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.64 : 467.65 = 297.96 : x
  2. Step 2: Convert to fraction form
    313.64/467.65 = 297.96/x
  3. Step 3: Cross multiply
    313.64x = 467.65 × 297.96
  4. Step 4: Simplify right side
    313.64x = 139,340.99
  5. Step 5: Solve for x
    x = 139,340.99/313.64
  6. Step 6: Final answer
    x = 444.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.