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Finding the Fourth Proportional to 442.16, 609.60 and 284.51

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Solution

The fourth proportional to 442.16, 609.60 and 284.51 is: 392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.16 : 609.60 = 284.51 : x
  2. Step 2: Convert to fraction form
    442.16/609.60 = 284.51/x
  3. Step 3: Cross multiply
    442.16x = 609.60 × 284.51
  4. Step 4: Simplify right side
    442.16x = 173,437.30
  5. Step 5: Solve for x
    x = 173,437.30/442.16
  6. Step 6: Final answer
    x = 392.25

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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.