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Finding the Fourth Proportional to 313.49, 467.06 and 298.00

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Solution

The fourth proportional to 313.49, 467.06 and 298.00 is: 443.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.49 : 467.06 = 298.00 : x
  2. Step 2: Convert to fraction form
    313.49/467.06 = 298.00/x
  3. Step 3: Cross multiply
    313.49x = 467.06 × 298.00
  4. Step 4: Simplify right side
    313.49x = 139,184.65
  5. Step 5: Solve for x
    x = 139,184.65/313.49
  6. Step 6: Final answer
    x = 443.98

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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.