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Finding the Fourth Proportional to 450.40, 621.42 and 284.47

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Solution

The fourth proportional to 450.40, 621.42 and 284.47 is: 392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.40 : 621.42 = 284.47 : x
  2. Step 2: Convert to fraction form
    450.40/621.42 = 284.47/x
  3. Step 3: Cross multiply
    450.40x = 621.42 × 284.47
  4. Step 4: Simplify right side
    450.40x = 176,775.35
  5. Step 5: Solve for x
    x = 176,775.35/450.40
  6. Step 6: Final answer
    x = 392.49

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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.