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Finding the Fourth Proportional to 450.54, 621.43 and 284.59

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Solution

The fourth proportional to 450.54, 621.43 and 284.59 is: 392.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.54 : 621.43 = 284.59 : x
  2. Step 2: Convert to fraction form
    450.54/621.43 = 284.59/x
  3. Step 3: Cross multiply
    450.54x = 621.43 × 284.59
  4. Step 4: Simplify right side
    450.54x = 176,852.76
  5. Step 5: Solve for x
    x = 176,852.76/450.54
  6. Step 6: Final answer
    x = 392.54

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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.