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Finding the Fourth Proportional to 456.18, 687.22 and 450.51

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Solution

The fourth proportional to 456.18, 687.22 and 450.51 is: 678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.18 : 687.22 = 450.51 : x
  2. Step 2: Convert to fraction form
    456.18/687.22 = 450.51/x
  3. Step 3: Cross multiply
    456.18x = 687.22 × 450.51
  4. Step 4: Simplify right side
    456.18x = 309,599.48
  5. Step 5: Solve for x
    x = 309,599.48/456.18
  6. Step 6: Final answer
    x = 678.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.