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Finding the Fourth Proportional to 446.40, 668.08 and 284.16

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Solution

The fourth proportional to 446.40, 668.08 and 284.16 is: 425.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.40 : 668.08 = 284.16 : x
  2. Step 2: Convert to fraction form
    446.40/668.08 = 284.16/x
  3. Step 3: Cross multiply
    446.40x = 668.08 × 284.16
  4. Step 4: Simplify right side
    446.40x = 189,841.61
  5. Step 5: Solve for x
    x = 189,841.61/446.40
  6. Step 6: Final answer
    x = 425.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.