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Finding the Fourth Proportional to 450.18, 672.02 and 416.37

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Solution

The fourth proportional to 450.18, 672.02 and 416.37 is: 621.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.18 : 672.02 = 416.37 : x
  2. Step 2: Convert to fraction form
    450.18/672.02 = 416.37/x
  3. Step 3: Cross multiply
    450.18x = 672.02 × 416.37
  4. Step 4: Simplify right side
    450.18x = 279,806.47
  5. Step 5: Solve for x
    x = 279,806.47/450.18
  6. Step 6: Final answer
    x = 621.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.