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Finding the Fourth Proportional to 450.48, 621.89 and 284.93

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Solution

The fourth proportional to 450.48, 621.89 and 284.93 is: 393.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.48 : 621.89 = 284.93 : x
  2. Step 2: Convert to fraction form
    450.48/621.89 = 284.93/x
  3. Step 3: Cross multiply
    450.48x = 621.89 × 284.93
  4. Step 4: Simplify right side
    450.48x = 177,190.58
  5. Step 5: Solve for x
    x = 177,190.58/450.48
  6. Step 6: Final answer
    x = 393.34

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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.