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Finding the Fourth Proportional to 456.02, 628.36 and 406.37

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Solution

The fourth proportional to 456.02, 628.36 and 406.37 is: 559.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.02 : 628.36 = 406.37 : x
  2. Step 2: Convert to fraction form
    456.02/628.36 = 406.37/x
  3. Step 3: Cross multiply
    456.02x = 628.36 × 406.37
  4. Step 4: Simplify right side
    456.02x = 255,346.65
  5. Step 5: Solve for x
    x = 255,346.65/456.02
  6. Step 6: Final answer
    x = 559.95

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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.