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Finding the Fourth Proportional to 455.52, 628.41 and 298.10

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Solution

The fourth proportional to 455.52, 628.41 and 298.10 is: 411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.52 : 628.41 = 298.10 : x
  2. Step 2: Convert to fraction form
    455.52/628.41 = 298.10/x
  3. Step 3: Cross multiply
    455.52x = 628.41 × 298.10
  4. Step 4: Simplify right side
    455.52x = 187,326.50
  5. Step 5: Solve for x
    x = 187,326.50/455.52
  6. Step 6: Final answer
    x = 411.23

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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.