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Finding the Fourth Proportional to 455.74, 628.80 and 298.42

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Solution

The fourth proportional to 455.74, 628.80 and 298.42 is: 411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.74 : 628.80 = 298.42 : x
  2. Step 2: Convert to fraction form
    455.74/628.80 = 298.42/x
  3. Step 3: Cross multiply
    455.74x = 628.80 × 298.42
  4. Step 4: Simplify right side
    455.74x = 187,646.50
  5. Step 5: Solve for x
    x = 187,646.50/455.74
  6. Step 6: Final answer
    x = 411.74

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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.