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Finding the Fourth Proportional to 456.08, 629.18 and 298.65

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Solution

The fourth proportional to 456.08, 629.18 and 298.65 is: 412.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.08 : 629.18 = 298.65 : x
  2. Step 2: Convert to fraction form
    456.08/629.18 = 298.65/x
  3. Step 3: Cross multiply
    456.08x = 629.18 × 298.65
  4. Step 4: Simplify right side
    456.08x = 187,903.11
  5. Step 5: Solve for x
    x = 187,903.11/456.08
  6. Step 6: Final answer
    x = 412.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.