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Finding the Fourth Proportional to 450.46, 621.47 and 284.61

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Solution

The fourth proportional to 450.46, 621.47 and 284.61 is: 392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.46 : 621.47 = 284.61 : x
  2. Step 2: Convert to fraction form
    450.46/621.47 = 284.61/x
  3. Step 3: Cross multiply
    450.46x = 621.47 × 284.61
  4. Step 4: Simplify right side
    450.46x = 176,879.62
  5. Step 5: Solve for x
    x = 176,879.62/450.46
  6. Step 6: Final answer
    x = 392.66

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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.