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Finding the Fourth Proportional to 333.82, 460.18 and 284.61

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Solution

The fourth proportional to 333.82, 460.18 and 284.61 is: 392.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.82 : 460.18 = 284.61 : x
  2. Step 2: Convert to fraction form
    333.82/460.18 = 284.61/x
  3. Step 3: Cross multiply
    333.82x = 460.18 × 284.61
  4. Step 4: Simplify right side
    333.82x = 130,973.91
  5. Step 5: Solve for x
    x = 130,973.91/333.82
  6. Step 6: Final answer
    x = 392.35

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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.