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Finding the Fourth Proportional to 442.04, 609.74 and 284.88

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Solution

The fourth proportional to 442.04, 609.74 and 284.88 is: 392.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.04 : 609.74 = 284.88 : x
  2. Step 2: Convert to fraction form
    442.04/609.74 = 284.88/x
  3. Step 3: Cross multiply
    442.04x = 609.74 × 284.88
  4. Step 4: Simplify right side
    442.04x = 173,698.26
  5. Step 5: Solve for x
    x = 173,698.26/442.04
  6. Step 6: Final answer
    x = 392.95

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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.