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Finding the Fourth Proportional to 313.80, 467.52 and 298.30

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Solution

The fourth proportional to 313.80, 467.52 and 298.30 is: 444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.80 : 467.52 = 298.30 : x
  2. Step 2: Convert to fraction form
    313.80/467.52 = 298.30/x
  3. Step 3: Cross multiply
    313.80x = 467.52 × 298.30
  4. Step 4: Simplify right side
    313.80x = 139,461.22
  5. Step 5: Solve for x
    x = 139,461.22/313.80
  6. Step 6: Final answer
    x = 444.43

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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.