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Finding the Fourth Proportional to 458.28, 632.16 and 300.94

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Solution

The fourth proportional to 458.28, 632.16 and 300.94 is: 415.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.28 : 632.16 = 300.94 : x
  2. Step 2: Convert to fraction form
    458.28/632.16 = 300.94/x
  3. Step 3: Cross multiply
    458.28x = 632.16 × 300.94
  4. Step 4: Simplify right side
    458.28x = 190,240.65
  5. Step 5: Solve for x
    x = 190,240.65/458.28
  6. Step 6: Final answer
    x = 415.12

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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.