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Finding the Fourth Proportional to 455.65, 628.68 and 289.80

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Solution

The fourth proportional to 455.65, 628.68 and 289.80 is: 399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.65 : 628.68 = 289.80 : x
  2. Step 2: Convert to fraction form
    455.65/628.68 = 289.80/x
  3. Step 3: Cross multiply
    455.65x = 628.68 × 289.80
  4. Step 4: Simplify right side
    455.65x = 182,192.55
  5. Step 5: Solve for x
    x = 182,192.55/455.65
  6. Step 6: Final answer
    x = 399.85

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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.